The Canaries succumbed to a disappointing 1-0 loss at the KC Stadium in the Barclays Premier League at the weekend and, despite making eight changes, Hughton named a strong side as they overcame their Sky Bet League Two opposition 6-3 in the second round of the Capital One Cup.
Only Russell Martin, Bradley Johnson and Leroy Fer retained their places but new signings Martin Olsson and Johan Elmander started their first games for the club and captain Sebastien Bassong also came in.
Elmander was the stand-out performer on the night, scoring twice to see of a spirited Bury side.
The hosts led 3-0 after goals from Olsson, Pilkington and Galatasasy loanee Elmander.
The Sweden international scored his second either side of goals from Bury's Anton Forrester and William Edjenguele.
Leroy Fer and Steven Whittaker added the gloss to Norwich's win before Shakers' substitute Jessy Reindorf hammered home the goal of the game in injury time.
The win was just what Norwich needed following their weekend disappointment, with Hughton admitting his side was based on the result in East Yorkshire.
"After Saturday we made a decision that we wanted to go strong," he said.
"I think, with respect to the competition and to Bury, I wouldn't have gone as strong tonight [Tuesday] but I must admit it wouldn't have been far from it.
"What there are is lads who need games, three out of my back four haven't play regularly - Martin Olsson, Seb and Ryan Bennett - and they need the games and I thought they came through it very well.
"It was good for those who got 90 minutes under their belt, they needed it. If you look at the side we put out it was strong enough and had a fair amount of intent in that team.
"There is no doubt we were disappointed with the result [at Hull] and certainly the penalty that was given against us. The best way to bounce back from that is to try and get a good result, irrespective of who we were playing, and it is important to take that on."
Elmander is the latest addition to Hughton's squad and the manager was delighted with the former Bolton forward's contribution.
"He has got quality," Hughton added.
"He is an experienced player and there are certain moments and touches in his game tonight that show that. He has great game awareness and he took his goals well as well."
Bury boss Kevin Blackwell was pleased with the effort his players showed on the night and felt Norwich stopper Mark Bunn deserved credit for limiting the visitors to three goals.
"The Norwich crowd gave everyone of our players a standing ovation at the end. It was a game and half and their goalkeeper has got man of the match," he said.
"He's pulled off save after save and we've hit the bar and the post and had two strong penalty shouts. I'm proud of the players. It was a good performance.
"How we played was key, some of the Norwich players said when they came off the pitch that we play some good stuff so I'm pleased with the players overall."