The Terriers have now gone eight matches without a win following first-half goals from Ipswich duo Paul Anderson and Daryl Murphy and the pressure is beginning to mount on boss Robins.
The former Manchester United striker insists he will not tolerate another showing like that, saying: "It was the most abject performance of any team I have managed and it cannot happen again.
"I have never apologised before but I feel I have to because that was horrendous. I deserve the criticism and so do the players but I can assure you it will get sorted. We know what the problems are."
Huddersfield are next in action against promotion-chasing Derby this weekend and Robins is looking for a response from whichever players he selects.
"Whatever team we put out on Saturday we need to work. The whole tradition of this club is based on hard work but tonight it seemed there were too many players who thought they could turn up and play without putting any effort in," he said.
"The players know exactly how I feel and they now need to respond.
"There comes a point where the players have to take responsibility and grow up.
"We looked like we were a team of individuals and we were blaming each other and that must be eradicated quickly.
"If I could have made 11 changes I would have."
Ipswich took a sixth-minute lead through Anderson's belter before Murphy added a second just after the half-hour as they moved to within two points of the Sky Bet Championship play-off places.
That was Murphy's 12th goal of the campaign and McCarthy believes the former Celtic and Sunderland striker is in the form of his life this season - and is hoping there is even more to come from the Republic of Ireland international.
McCarthy said: "Murphy has had a great season. He was excellent up front virtually on his own.
"He has probably had the best season of his career. Let's hope there's more to come."
The Tractor Boys are aiming to reach the play-offs for the first time since 2005.
However, despite his side significantly closing the gap on sixth-placed Reading, McCarthy was keeping it low key.
"It may be two points but we have a worse goal difference so it's really three," said McCarthy, who was nevertheless full of praise for his team after seeing them bounce back from a disappointing 2-0 defeat at Blackburn on Saturday.
"It shows we have a good team spirit and work ethic," he said.
"We were beaten by Blackburn and had to travel home and then back up to Huddersfield and there was a danger we could get another slapping.
"That didn't happen and we had a top response from the lads."
McCarthy was also impressed with recalled winger Anderson, who curled in the early opener with a stunning left-footer from just outside the box.
McCarthy said: "He's done well too. It was a good goal and we are always ripping his ears about getting forward more."