Former Premier League referee Mark Clattenburg has called Jurgen Klopp a "hypocrite" over his penalty jibe and said Liverpool players were also guilty of diving.
Klopp avoided a sanction from the FA over his comments but Clattenburg said the Liverpool boss attempted to influence the officials ahead of the top of the table clash against United on Sunday.
"Jurgen Klopp must be getting worried, because his comments last week about Manchester United and penalties were straight out of Sir Alex Ferguson's playbook," he wrote in the Daily Mail.
"It was mind games -- an attempt to influence referee Paul Tierney and get inside his head before a huge match between Liverpool and United this Sunday.
"But let's be clear: there is no conspiracy on the part of referees and officials. Was Klopp insinuating there is? Or was he suggesting United have players who are encouraged to dive?
"If his intention was the former, then I've got no time for that. It simply is not true. First, he sounds like a hypocrite if he is suggesting United's players are looking to win penalties.
"He is clearly getting edgy, though, because not since Fergie have we seen such a blatant attempt to influence a referee ahead of a big game. Klopp wasn't doing this last season when Liverpool were winning every week.
"He does not like losing, he never has. He gets prickly. But he is wrong to suggest there is an aura around United that sees them given favourable decisions."
United boss Ole Gunnar Solskjaer responded to Klopp's comments last week and also accused him of attempting to influence the referees.
Klopp's side can go level on points with leaders United with a win at Anfield on Sunday before meeting them again in the FA Cup fourth round the following week.