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Sir Alex Ferguson left Anfield frustrated by refereeing decisions but admitted Liverpool deserved all three points on Sunday. �It was a disappointing performance and Liverpool were better,� the boss told MUTV. �We never got any luck in terms of refereeing decisions, but we have to hold our hands up: we weren�t good enough.� The manager was particularly riled by two decisions involving Liverpool captain Jamie Carragher. For the first, Carragher escaped punishment from referee Andre Marriner when he lunged in on Michael Carrick inside the penalty area. For the second, he was shown only a yellow card when he hauled back Michael Owen as the striker looked to break clear of the opposition defence. �The laws of the game were altered to prevent professional fouls of that nature,� Sir Alex said of the second decision. �If Carragher goes off � their best player, their captain � then it�s a different game and Liverpool would have been under pressure. �And as far as I�m concerned, Michael Carrick should have had a clear penalty kick. Jamie Carragher�s gone over the top of the ball. If it�s outside the box it�s a free-kick and maybe even a yellow card but it was inside the box and nothing was given. �I�m not trying to take anything away from Liverpool � they were the better team � but there were so many controversial things that happened out there and we feel a bit aggrieved.� Both teams ended the game with 10 men after referee Marriner issued red cards to Nemanja Vidic and Javier Mascherano. Now Sir Alex is tasked with the challenge of orchestrating a recovery. United face Barnsley in the League Cup on Tuesday and are back in league action next weekend when Blackburn Rovers come to Old Trafford. �Part of the challenge at this club is how you react to disappointment. We lost 4-1 to Liverpool at home last season, which was a travesty at the time. But the players buckled down and we went on to win the league.�