Jurgen Klopp sarcastically congratulated a TV journalist on James Milner's injury and called Sheffield United boss Chris Wilder "selfish" in another spiky post-match interview.
"I don't know how often I have to say it. You picked the 12:30," he said to reporter Des Kelly.
"After Wednesday, Saturday at 12:30 is really dangerous for the players."
Klopp had previously warned that playing games on Wednesday and then being involved in the early Saturday match would cause problems.
Liverpool lost 2-0 to Atalanta in the Champions League on Wednesday after resting several first-team regulars.
Three of the four early Saturday games after Champions League weeks have involved teams who played on the Wednesday - Manchester City, Manchester United and Liverpool.