Sam Allardyce claimed Liverpool couldn't cope with West Bromwich Albion as he aimed a pointed barb at "lucky" Jurgen Klopp.
Alisson Becker's incredible injury-time header earned the Reds a 2-1 win at The Hawthorns against the relegated Baggies on Sunday.
Mohamed Salah had earlier equalised Hal Robson-Kanu's opener as Klopp's side moved to within a point of the top four with two games remaining.
West Brom, though, were not happy with referee Mike Dean awarding Liverpool a free-kick in the build-up to the first goal having accidentally obstructed Fabinho.
The Baggies were also upset Kyle Bartley had a second-half effort disallowed for offside after Matt Phillips was adjudged to have obstructed the view of Alisson.
And after Klopp suggested Liverpool deserved some fortune having been constantly penalised by Dean during the first half, Allardyce sarcastically responded: "Old Jurgen is always right, isn't he?
"You know what I mean. He always thinks he's right, perhaps I do the same.
"He's a lucky man tonight and he knows it."
On the decisions that went against his team, Allardyce added: "There's no way with Matt Phillips in front of the keeper would that goalkeeper have saved that ball.
"The goalie would have had no chance. But that's the way it is and we have to accept that.
"The referee also got his decision wrong for their first goal.
"It's difficult to take because we did exceptionally well against a very good Liverpool side by shutting them down and not letting them do what they want. We didn't let them do that and we frustrated them.
"It was such a well-organised, well planned, tactically very good performance from our players today. We exposed their weaknesses as best we could.
"You saw Liverpool tear Manchester United apart in midweek because United played an open game. There's no way we could allow ourselves to do that.
"Frustrating the opposition to get them moaning and groaning is the right way forward for us as a team and we got them moaning and groaning and complaining, that shows you how well we were playing.
"We did the right thing playing like that against Liverpool because a lot of the time they can't cope with it."
Allardyce, though, admitted his defence should have dealt with the winner, with Alisson unmarked when heading home Trent Alexander-Arnold's corner from the left.
"Their last-minute goal is something we could have avoided," said the West Brom boss.
"He's 6ft 3ins so we should have tried to get one of our bigger players to mark him. It was a quality ball and a quality header but he was free, there was nobody marking him, and that's the disappointment.
"We scored a goal wrongly disallowed, Robson-Kanu could have scored three and they were better chances than Liverpool created as they were one-on-one."