But the Dutchman insisted there was no malice in the two-footed aerial lunge at Everton's Phil Neville that infuriated the home players and manager David Moyes.

Kuyt had already scored one controversial penalty when he hurled himself at Neville. Liverpool boss Rafael Benitez insisted he was "trying to block the ball, not connect with the player."

Kuyt himself claimed: "People saw the TV and said my booking looks bad. But I was just trying to make a tackle and I did not want to touch the player, and I didn't.

"Maybe I was a bit lucky, but I never had any intention of trying to hit the player, it was a yellow card and I accept that."

That does not cut any ice with Everton's veteran defender Alan Stubbs, who led the condemnation of the challenge afterwards.

Stubbs said: "That was a two-footed lunge. If a player leaves the ground with both feet, that's a red card, and he gets a yellow.

"In the laws of the game if a player goes in with two feet and makes a lunge, and that is what it was, it's a red.

"If Phil (Neville) hadn't been so honest he could have been rolling around and trying to get him sent off. It's a two-footed tackle and that's a red card offence."

Stubbs was also furious with referee Mark Clattenburg after the game's crucial turning point when Tony Hibbert was sent off for bringing down Steven Gerrard in the box, a penalty confidently put away by Kuyt 10 minutes before his flying tackle on Neville.

Everton were deservedly ahead from a first-half Sami Hyypia own goal at that point, and Stubbs said: "The referee went to book Tony Hibbert holding a yellow card, their player (Gerrard) walks past him (the referee) and it's changed to a red. Have a look at the replay, and see for yourself.

"We saw the replays. That's disappointing. We were 1-0 at half-time and on top, we had control of the game.

"The penalty changed everything, it gave them impetus and we were a man down. It was always going to be difficult after that with them having more of the ball and pressure.

"But Tim (Howard) didn't have any saves to make. We were under the cosh and wanted to see it out for a draw, I am as disappointed as I have been all season.

"I suppose I sensed a red card. But the replays show he had the yellow and put it back in his pocket. It was a big call."

Liverpool's injury-time winner came after Neville had handled a shot from substitute Lucas on the line, and this time referee Clattenburg had no option but to bring out the red card before Kuyt slammed home his second penalty.

But there was still time for more controversy when Jamie Carragher appeared to haul Joleon Lescott to the ground as Everton's nine men fought for an equaliser, deep into injury-time.

Stubbs fumed: "If the referee looks at the decision again he will see the penalty appeal was right. Their lad had his arms all around Joleon, what was he supposed to do?

"And Benitez has gone on TV saying he was diving, but just look at it, that's a stone-wall penalty.

"The referee was close, but that means nothing. He was close to a lot of things and didn't give them.

"We are disappointed because we have lost. But there was zero feedback from the referee, I think they should have to come out after a game and explain themselves.

"We have to explain ourselves if we make bad decisions or mistakes, why not referees?"

Kuyt expressed the Liverpool view, adding: "There were lots of tough decisions for the referee, but Jamie told me afterwards that it wasn't a penalty, just a man's game, so I believe him."

Liverpool were delirious at the end, recalling their 3-0 mauling at Goodison Park last term and the current form that had seen questions asked about their title credentials.

This has revived confidence ahead of a week that sees Liverpool facing Besiktas in the Champions League and leaders Arsenal on Sunday.

Kuyt said: "To win the game means a lot, we remembered what happened here last season.

"We definitely wanted something different this time around. We showed them we are a better team now.

"You could see our reaction after the game and what it meant to all of us.

"Derby wins mean a lot to people like Jamie and Stevie, but they mean a lot to the rest of the players as well, we all understand how important these derby games are to our fans."

REF'S REPORT: For an hour Clattenburg had been right on top of things and replays show he was right over Hibbert's clip to bring down Gerrard for the first penalty. But he started getting the big calls wrong, many would have sent off Kuyt, while Carragher did manhandle Lescott at the end.

FUSSY FACTOR: The official did not need to book McFadden and Carragher when the pair just fell on top of each other.