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Featured Image Credit: Sky Sports
The Reds slumped to a 1-0 defeat on Monday evening and it means they've lost more points than the entirety of last season.
Klopp thought his side should've been given two penalties in the game and pointed out United "had more penalties in two years than I had in five-and-a-half years."
Per Sky Sports he explained: "I hear now that Manchester United had more penalties in two years than I had in five-and-a-half years. I've no idea if that's my fault, or how that can happen.
"But it's no excuse for the performance. We cannot change it, we have to respect the decisions. But we can change our performance. That's our focus now."
Liverpool are still top of the Premier League on goal difference, but could be overtaken by United if they win their game in hand against Burnley next week.
Kyle Walker-Peters' challenge on Sadio Mane and Jack Stephens' handball were both untouched by referee Andre Marriner.
"If anybody ever again will say Sadio Mane is a 'diver', it's the biggest joke in the world," Klopp continued.
"I think it's more of a case of Mane kicking the back of his heel, or his calf, so no I don't think that was a penalty." :no_entry_sign:- Sky Sports Premier League (@SkySportsPL) January 4, 2021
Should #LFC have had a penalty at St. Mary's?
Even @carra23 isn't convinced... pic.twitter.com/WOf4MJHCoL
"This boy tries to stay on his feet with all he has. In two situations... other teams will get a penalty for it, let me say it like this. Then the handball, I don't know who will explain that to me.
"We had a really good view of it [the Mane incident], and it looked like a clear penalty. I turned around to the fourth official and asked if it was going to be checked, he said it already had been and was not a penalty.
"That's 100 per cent true, and now someone wants to tell me how quick they had it in all these different angles.
"Last year, there was a penalty against Leicester when people said Sadio Mane goes down too easily - if he goes down easily, we would have had a penalty in this game and the last game, a stonewall penalty, but what Andre Marriner did with Sadio Mane I'm not sure if that's okay.
"The boy tried everything, had a few great challenges with Walker-Peters, but there were a lot of situations which should have been free-kicks.
"The last one, when he goes down, you see that back and in the box he hits him in the end with his left foot, that's a penalty."
Danny Ings' goal in the second minute managed to be the difference for The Saints.