The reigning champions were denied a last-gasp victory at Goodison Park when Jordan Henderson's effort was ruled out for a borderline offside decision against assister Sadio Mane.
Liverpool have also raised serious concerns over why no action was taken against Jordan Pickford following the goalkeeper's clumsy challenge on Virgil van Dijk in the opening minutes.
The Netherlands defender had to be withdrawn and now faces an anxious wait on the seriousness of his knee injury, with reports indicating he could be out for as long as EIGHT months.
When asked whether he felt decisions went against his side, Klopp told talkSPORT : "What do you think?"
The irritated Liverpool boss added: "You watched the situations… and I understand your question and your face asking when watching more often than I did, I saw the offside situation once back on a laptop.
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"I couldn't see the offside situations. Not sure if the good old rule was benefit of the doubt for the attacker… but it's not even in doubt.
"If the VAR needs ages… and in the end the whole world thinks it's not offside because all your colleagues gave me the answer that they couldn't see that it was offside. That's hard to take.
"In a really hard game where you're the better side and it wasn't clear before the game that we would be that but the boys made a proper, proper performance with all the setbacks we had in the game. These are the things and that's what we have to deal with now."
Liverpool have reportedly asked the Premier League to investigate the VAR decisions made during Saturday's dramatic Merseyside derby against Everton, which ended 2-2.