Salah had been waiting to come on before Antonio's goal and was involved in an animated conversation with Klopp, appearing to be angry with his manager.
Liverpool reached an agreement with Feyenoord on Friday for Arne Slot to succeed Jurgen Klopp as manager, British media reported.
Liverpool manager Jurgen Klopp has told Arne Slot he will be getting the "best job in the world" if the Feyenoord boss succeeds the German at Anfield.
"(Leaders Arsenal and Manchester City) must have a very bad moment," Klopp, who looked completely shattered, said when asked about his team's chances.
The Algemeen Dagblad newspaper said Liverpool made contact with Feyenoord on Wednesday morning.
"Disappointed that we did not go through but not frustrated or angry. Now we can focus on the league and that's what we will do," Klopp told reporters.
Jurgen Klopp was headed for a glorious send-off in his final season at Liverpool just a few weeks ago, but talk of a potential quadruple is now long forgotten as the Reds have come off the rails.
A first home league defeat in 29 games for the Reds leaves Jurgen Klopp's men two points behind Manchester City and level with Arsenal, who can go top with victory over Aston Villa later on Sunday.
"It just was a really bad game, oh my god. We started well, really well, and then didn't continue. I think even before they scored, we just lost the plot a little bit, we were everywhere and nowhere," Klopp told reporters.
Arsenal manager Mikel Arteta has called for an end to FA Cup replays to avoid fixture congestion ahead of his side's third-round tie at home to Premier League leaders Liverpool.
"We should not be really surprised that Mo can change a game, can improve in the game, because he did it hundreds of times," Klopp told reporters.
Liverpool manager Juergen Klopp said he was unhappy with the home support during their 5-1 League Cup win over West Ham United and urged fans to give their tickets away if they are not in the "right shape" for the visit of Arsenal at the weekend.
Jurgen Klopp said he is happy with the progress of his rebuilt Liverpool team as they bid to go top of the Premier League at Crystal Palace on Saturday.
Jurgen Klopp blasted an "ignorant" television presenter for making a joke about Liverpool's next game after Wednesday's 2-0 win at Sheffield United being on a Saturday lunchtime.
Liverpool will become the latest team to attempt to storm Manchester City's Etihad fortress this weekend as Everton focus on Premier League survival following a punishing points deduction for breaching financial rules.
Liverpool's margin for error in the transfer market is slim compared to their rivals, manager Juergen Klopp said, while acknowledging that it is not easy to work with budget constraints.
According to reports, Al-Ittihad are trying to lure the Egyptian to the Gulf state with a huge salary offer that would rival the deals that enticed Cristiano Ronaldo and Neymar to the Gulf kingdom
Liverpool manager Jurgen Klopp on Tuesday urged football authorities to address the late closure of the transfer window in the Saudi Arabia league, fearing it may have a detrimental effect on European clubs.
Liverpool boss Juergen Klopp struck a sombre note on Friday after it was confirmed that the club could not finish in the Premier League's top four but he said he was optimistic as they rebuild for next season.