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Liverpool have been hit with a £50,000 penalty.
Slot had also accepted an FA charge of having "acted in an improper manner and/or used insulting and/or abusive words and/or behaviour towards both the match referee and an assistant referee".
He was accused of having “acted in an improper manner and/or used insulting and/or abusive words and/or behaviour towards a match official”.
It was further alleged that he “acted in an improper manner and/or used insulting and/or abusive words and/or behaviour towards a match official” after being sent off.
An FA statement in full reads: "An independent Regulatory Commission has sanctioned Everton, Liverpool, Arne Slot and Sipke Hulshoff in relation to the Premier League fixture between the clubs on Wednesday 12 February.
"It was alleged that both clubs failed to ensure their players and/or technical area occupants did not behave in an improper and/or provocative way following the final whistle.
Everton and Liverpool admitted the charges, and the Regulatory Commission imposed £65,000 and £50,000 fines on them respectively following a hearing.
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"It was alleged that the Liverpool head coach acted in an improper manner and/or used insulting and/or abusive words and/or behaviour towards both the match referee and an assistant referee after the match had finished.
Arne Slot admitted the charge, and the Regulatory Commission imposed a two-match touchline suspension and £70,000 fine.
"It was alleged that the Liverpool assistant head coach acted in an improper manner and/or used insulting and/or abusive words and/or behaviour towards a match official, which led to his dismissal.
It was further alleged that he acted in an improper manner and/or used insulting and/or abusive words and/or behaviour towards a match official after being sent off.
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