“We’re disappointed with the result, and disappointed with the performance,” said the Northern Irishman.
Rodgers said his side were organised in the first half but didn’t keep the ball long enough to create opportunities.
He lamented the award of the free-kick which led to the first goal for United.
“We showed good character to then get on the front foot,” he praised, noting Christian Benteke’s excellent.
“Plenty of effort, plenty of commitment, but we need to be better with the ball,” he said.
Rodgers discussed the need for better creativity, having scored just three goals in their opening five games.
MAN UNITED 3-1 LIVERPOOL POST-MATCH COVERAGE