No they don't.
They have not lifted a finger to deal with the feral scum section of their support. Not one finger, in 35 years. How many Liverpool supporters have been banned, from that club, for any of the instances of their fans appalling behaviour? Not one. Remember the one caught and identified when he shoved a local into the fountain in Barcelona? Course you do, we all do. Did you see the follow up story where he has been banned from Liverpool? No, course you didn't. There wasn't one.
Despite all the mobile phone and CCTV footage, how many fans have been banned after assaulting our coach last year? Not one. How many fans have been banned for throwing flares? Including the one against Chelsea when some twat threw a flare into the Chelsea end? None. How many Liverpool fans have been banned AT ALL for anything? (By the club, I mean, not court imposed football banning orders). I googled it and this is what I found.
https://metro.co.uk/2019/04/27/disabled-liverpool-fan-banned-conning-supporter-1000-9329103/
So rip off the club and you're out. Anything else they do fuck all about.
Every time their fans act like scum, Liverpool come out with a mealy mouthed tweet about this type of behaviour letting down the club and the city. (Funny, I'm sure Everton have their share of dickheads like all clubs do but you never hear stories about them acting the way Liverpool fans do.) Every time it happens, beyond that tweet they do the square root of fuck all about it.