And despite the loss widening the gap between the two sides to five points, he sent out a clear message in the race for second, proclaiming: "We won't stop".
Klopp had previously dismissed the idea of his style of football - though more attractive on the eye - being better than Mourinho's, and he reiterated that after the game.
Speaking on Sky Sports, Salah said: 'As a person, they are great, they try to help me, now that they know I am in a position fighting for the Golden Boot. "That's how it is", he said.
Former Liverpool star David Thompson has pointed the finger at Reds boss Jurgen Klopp and his management team, arguing that the club's first eleven are just as good as Manchester City's. The mistakes were obvious - around the second balls we were not there and we can not leave Dejan alone in the challenge there and nobody's around for the second ball.
"Obviously to concede two nearly identical goals was frustrating and it was hard to break them down today because they sat back waiting for the counter-attack". You have to do what you have to do. "That was our mistake, it was nothing to do with the system".
They were, however, to end the weekend five points adrift of the Red Devils and down in fourth spot after being put to the sword by a deadly double from Marcus Rashford.
But Klopp insists his side will continue to aim for second.
There's even arguments being made for the many chances at penalties that Liverpool could've been given, and would they have actually changed the game. I think they all play against each other, Man United doesn't look like they'll win all their games 5-0, so maybe they lose a game. He needs to fit in the team, that's why we paid the price for Virgil. Are we under pressure? I hope the game is open, and we enjoy the game, but it will not be easy'.