In a tightly-contested, Merseyside Derby, it was an Everton mistake late in injury time of the second half that produced the goal for Liverpool as they went ahead and took three big points at Anfield.
Silva told a news conference on Tuesday he did not feel that Klopp's actions warranted punishment from the FA.
"What can I say about it?"
"Immediately after the game I apologised to Marco..."
"It was not in my plan". I don't want to pick out individual performances because I thought we played really well as a team. "Not cool, but it happened".
"If I could describe it (how he felt) then I would have control over it".
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It seemed as though United would go on to win the game but their display in the second half was flat and uninspiring. Manchester United goalkeeper David De Gea has turned down a deal worth £275,000 a week to stay at the club.
Klopp's joy was in contrast with Everton's misery after their atrocious Merseyside derby record was extended by Origi's last-gasp goal.
For Liverpool, Sadio Mane hurried a shot over from 10 yards and Xherdan Shaqiri was blocked by Pickford when a goal looked inevitable - signs of the home side being put off their stride by an impressive Everton.
The footage also shows how the German attempts to calm down his players after returning to the touchline - although they don't appear to be listening.
Somehow, goalkeeper Alisson made an extraordinary reflex block and, after the ball rebounded against Gomes's head and looked destined to trickle over the goalline, it was Liverpool defender Joe Gomez who made a brilliant last-ditch clearance to hack the ball to safety.
Despite being on the receiving end of a devastating injury-time victor, Silva didn't think Klopp should have been punished for his reaction. Normally when you play Burnley you know you are in for a hard game but I just don't see that at the moment.
I can't see anything but a Liverpool win here. "I know when I did it I was not happy to have done it, so I can understand Marco [Silva], [Mauricio] Pellegrino when it happens, but sometimes it's what it is, an emotional game". It's not an assist, but if you guys register it, obviously I'll take it.