The Liverpool manager also accused Brentford of 'stretching the rules' after Thomas Frank's men secured a stunning victory on Monday night.
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The Reds were defeated 3-1 at the Brentford Community Stadium, with the boss admitting his side could not deal with the 'chaos' the Bees created from set pieces - despite missing their top goal threat Ivan Toney.
Ibrahima Konate scored an own goal from one corner and Yoane Wissa had two goals disallowed for offside from two more corners before putting the hosts 2-0 ahead before half-time with a fine header.
That was after Darwin Nunez added to his growing catalogue of wasted chances as he rounded goalkeeper David Raya only to fire his shot straight at last man back Ben Mee.
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Alex Oxlade-Chamberlain pulled one back after the break, but Bryan Mbeumo left Konate in a heap to fire in the third and finish Liverpool off.
And it was that third goal Klopp was not happy with, insisting it should have been pulled back for a foul on the France defender, with the German criticising officials for their lack of communication.
"The third goal should not be a goal, easy as that," he fumed.
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"If you've ever played football and been in a foot sprint and you get a slight push you go down because you cannot keep balance. That's how it is and you could see that.
"That's actually exactly the same as I'd talk to my microwave. You get no response really.
"It's always the same. Before the season they give us advice that the players must be careful in these moments because the refs will have an eye on it and you see these games and pretty much everything is allowed. It's always on the edge.
"I will have to watch it back again and again because the two corners where they scored, one of them was offside or whatever it was, and then the other one of course we don't behave perfectly.
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"But they are stretching the rules in this moment, they are pushing, holding and everything and the refs, that's obviously what you can do, that's why it's really difficult and we could have done better.
"The third goal, I have no clue how he can only not whistle for a foul in that situation where the defender has been given a push in the back. You lose control and you go down, then they hide behind the phrase 'it's not clear and obvious.'
"These are the situations, he [the referee] has to explain that, if somebody were to ask him.
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"We had a meeting before the season where they told us not the foul on Ibou, but the behaviour in the box, the refs will whistle, but unfortunately they don't do it. Do I expect it? I don't expect anything in our favour, I just think a foul is a foul, holding is holding and pushing is pushing.
"That's a few things that are allowed and then not allowed, and refs see them, they whistle for it, if they don't then they cannot whistle for it, that's how it is.
"Maybe there's a reason why they are so successful from set pieces but still concede a lot of defensive goals around set pieces, because there you cannot do the same stuff because it would be a penalty. That's why they do well, but there are some rules and that's what you have to see."