A late first half goal gave the 5,300 Town fans hope that a possible upset was on the cards after Premier League side Everton's early double at Goodison Park this evening, but in the end the Toffees scored a further three goals to proceed to the Third Round of the Carling Cup.
Town battled hard throughout the ninety minutes but Everton moved the ball impressively through midfield and deserved their victory.
One of the most disappointing aspects for the Terriers was the second-half dismissal of right-back Lee Peltier for two bookable offences, who will now miss this weekend's big League One game with Charlton through suspension.
Premier League Everton were right on the attack from the off, with winger Magaye Gueye forcing a first minute corner down the Town right. The Frenchman took the set piece himself and the ball fell to Marouane Fellaini in the area, but he screwed his volley massively and the ball hit a teammate before falling to safety.
Town then created a great chance in the 4th minute from their own set-piece, awarded when Fellaini fouled Croft on halfway. Peltier delivered the ball into the area only for it to be returned to him, but he then picked out Robinson on the edge of the box with a superb low pass; he turned and played the ball to Arfield who crossed, allowing big Jamie McCombe to power a header at goal. Unfortunately for Town, 'keeper Mucha did very well to push the ball away at full stretch to his left side.
GOAL - However, Everton took the lead in the 7th minute through giant midfielder Marouane Fellaini. The ball was patiently worked across midfield by the Toffees, eventually finding left winger Gueye in space on the Town right - he looked up and crossed superbly in behind the back four where the tall central midfielder was unmarked to power a header home past the helpless Smithies.
French winger Gueye, a summer signing for the Toffees, looked good in the early stages and Damien Johnson had to be alert in the 9th minute to block his long range drive away from danger.
Town tried to launch an attack in the 13th minute when Naysmith's low cross was deflected behind for a left-sided corner. Just like at Peterborough, Joey Gudjonsson chipped a floated delivery to the near post for McCombe but although the defender made contact with a header, he could not divert the ball on target.
GOAL - In fact the Terriers found themselves two goals down inside the 14th minute through talented midfielder Jack Rodwell. The young Englishman collected a low pass from Steven Pienaar 25 yards from goal and cleverly turned past Johnson before firing an accurate low pass past Jamie McCombe's last ditch challenge and into the bottom right corner of Alex Smithies' goal.
The Terriers made another chance through another set-piece three minutes after the second goal when Johnson was tripped by Leighton Baines. Gary Roberts delivered a superb ball into the box that Fellaini cleared to the edge of the box; up stepped Lee Peltier to drive the ball towards goal, but he sent his powerful effort way over the crossbar.
A misplaced pass from a Town midfielder gave goalscorer Rodwell another chance to shoot at goal from distance soon afterwards, but this time the midfielder scuffed his shot tamely wide of the near post.
The travelling faithful had a few reasons to cheer despite the two goal deficit, as their side were starting to get on the ball a bit more. Roberts pressed youngster Coleman into an error in the 22nd minute, with the Town man robbing him of possession high up the pitch - he immediately found Robinson with a pass into the area, but Theo had strayed offside in his exuberance.
Yet another Gudjonsson set-piece in the 27th minute created a good chance for Roberts, but he couldn't get his shot on target. A clever one-two between Arfield and 'Robbo' forced Coleman to foul the flying winger and as a horde of Town players lined up on the edge of the six yard box, Gudjonsson cleverly played a low ball towards the penalty area where Roberts hit a powerful drive over the crossbar under pressure.
Town's fans and players alike were holding their breath in the 32nd minute when Gueye fired a low ball across the area - for a second it looked like a touch from McCombe at the near post would divert the ball past Smithies, but in the end the ball fired past the far post. When Everton got the ball back in play, Pienaar powered the ball over the bar from a tight angle.
A clever bit of play from Robinson almost gave Gary Roberts a clear route at goal in the 38th minute, but Dutch international Heitinga cleverly shut the door on the Town man and cleared for a throw in. From that, Naysmith's cross was flicked to the back post by Fellaini - where Croft hit a snapshot that hit the outside of the post.
GOAL - Town then got a lifeline in the game when defender John Heitinga scored an own goal. Lee Clark's side deserved their piece of luck after Gudjonsson's tremendous cross from the right found Gary Roberts unmarked, who chested the ball against the post from close range as the ball reached him at an awkward height; the ball then spooned up into the air off the woodwork and under heavy pressure from Theo Robinson on the goal line, the Dutchman could only place his header inside the far post.
Everton fought back hard after their lead was reduced, with Fellaini trying his luck with his left foot from range. However, Damien Johnson got back to pull off a sliding block as he pulled the trigger, allowing Smithies to scramble to his right and smother the ball.
The half then ended and it was the Town fans you could hear as the players walked into the tunnel - that goal just before half-time had given them hope of an upset.
HALF-TIME: EVERTON 2 HUDDERSFIELD TOWN 1
SUB - Town made a change during the interval, with goalkeeper Ian Bennett making his Town debut at the expense of Alex Smithies.
Everton threatened early but Jamie McCombe saw off the initial danger before Naysmith did excellently to head a corner clear ahead of the tall Rodwell at the near post.
The Toffees attacking play paid dividends in the 50th minute when Pienaar played a low pass into the area for Rodwell; after the midfielder turned sharply, he was brought down by the sliding tackle of Damien Johnson and the referee wasted no time in pointing to the spot.
GOAL - Up stepped former Leeds striker Jermaine Beckford to send Bennett the wrong way from the penalty spot to re-establish Everton's two goal lead.
BOOKING - Lee Peltier was shown a yellow card in the 52nd minute for a scything challenge on winger Magaye Gueye inside the Everton half.
Beckford then got another chance at goal two minutes later when an Everton man charged down a clearance from Jamie McCombe, with the ball falling in behind to Beckford - he raced into the area and sent a left footed shot towards goal that Bennett did well to tip over the crossbar.
Beckford had suddenly come to life and he hit another snapshot straight at Bennett moments later after a positive surge forwards from Fellaini.
Pienaar fired wide from range barely a minute later as David Moyes' side continued to enjoy the better of proceedings before Osman sent a curling shot inches wide of the far post from just outside the Town area.
Town's best passage of play then followed in the 62nd minute, courtesy of Gary Roberts and Theo Robinson. The striker's cheeky back-heel set Roberts away down the left in front of the Town supporters and his outside of the boot cross found Croft at the back post; the winger swivelled and sent a powerful left foot drive towards goal, but Mucha saved well with his legs before the ball was cleared to safety.
SUB - Everton made their first substitution in the 65th minute, with Russian winger Diniyar Bilyaletdinov replacing Magaye Gueye.
Town skipper Peter Clarke pulled off a great block on the impressive Rodwell upon the restart of play.
SUB - Town's first change soon followed, with Gary Naysmith replaced by Antony Kay in the 67th minute. This saw Lee Peltier switch to left back, with Arfield at right back and Kay in central midfield.
Everton had the ball in the net following a corner a minute later, but the goal was immediately ruled out for a foul on Ian Bennett.
Town launched an attack in the 69th minute trying to find a way back into the game and Gary Roberts did get on the end of Scott Arfield's deep cross from the right, but his tame effort drifted harmlessly wide of the far post.
SENDING-OFF - Lee Peltier was then shown a second yellow card in the 72nd minute for bringing down substitute Bilyaletdinov in the area after he played a neat one-two with right-back Coleman.
However, Ian Bennett was the hero when defender John Heitinga stepped up to make it 4-1 from the spot - flinging himself to his left side and beating the ball away with two hands at full stretch.
Down to ten men, Town reshuffled - with Damien Johnson slotting into the vacant left-back area.
Rodwell headed a deep corner wide of goal soon afterwards as the Premier League side continued to push forward.
SUBS - Both teams made changes in the 76th minute - Everton replaced Steven Pienaar with Louis Saha, whereas Lee Novak replaced Theo Robinson.
GOAL - With his first touch, former Manchester United striker Louis Saha scored Everton's fourth in the 77th minute. The Toffees played a low pass into Jermaine Beckford's feet on the edge of the Town box and when the striker laid it off, up stepped Saha to calmly place the ball to Bennett's right side and into the bottom corner.
Bennett easily hung on to winger Bilyaletdinov's attempted curler soon after the goal.
BOOKING - Gary Roberts was shown a yellow card by referee Swarbrick in the 80th minute for a late challenge on Seamus Coleman.
SUB - Everton made their final change in the next minute, replacing Baines with Tony Hibbert.
GOAL - Everton then scored their fifth goal in the 85th minute through long serving Leon Osman. The move started when striker Saha dropped deep to collect a ball before advancing and playing a short pass right to full-back Coleman; he in turn delivered an excellent back post cross, which allowed Osman to climb above Arfield and place a header into the top corner from close range.
Young right-back Coleman sent a long range rocket just wide of Bennett's left-hand post in the closing stages.
FULL TIME: EVERTON 5 HUDDERSFIELD TOWN 1
Town's Team (4-4-1-1):
Alex Smithies (Ian Bennett 46); Gary Naysmith (Antony Kay 67), Peter Clarke (c), Jamie McCombe, Lee Peltier; Gary Roberts, Damien Johnson, Joey Gudjonsson, Lee Croft; Scott Arfield; Theo Robinson (Lee Novak 76)
Unused Subs: Joe Garner, Jordan Rhodes, Jim Goodwin, Graham Carey
Town Bookings: Lee Peltier (52), Gary Roberts (80)
Town Red Card: Lee Peltier (72 - second yellow)