Brendan Rodgers was taunted with chants of “you’re getting sacked in the morning” as he left Old Trafford on Saturday night.
“We need to be a lot technically better than we showed today,” the Liverpool manager said.
“Creating goals is something we need to look at.
“I thought in the first half we defended well but had nowhere near enough quality and composure on the ball.”
Rodgers admits it will take some time to get over his third straight loss to United.
“This is the biggest game in this country, maybe in the world in terms of derby games,” he said.
“When we won 3-0 it felt great. When we lost 3-1 it doesn’t. It is difficult for the supporters. We have to go away and do better.”
MAN UNITED 3-1 LIVERPOOL POST-MATCH COVERAGE