Carra, who wore the captain's armband before Steven Gerrard entered the fray late one, said: "It's a great result for us.
"Not just for the three points, but for the belief and confidence it will give us. We've just beaten the best side in Europe and a team we have a lot of respect for. It should do wonders for our confidence.
"For too long we've been off the pace in the league and it's been all about Man United and Chelsea. Now we've gone to the top of the league and put a bit of breathing space between ourselves and United.
"We'll see at the end of the season what this result has done for us but hopefully it will spur us on."