KiwiFarms originated from Chris Chan's wiki called the CWCiki, and is in some ways a spin off of Encyclopedia Dramatica. They split off and became the Kiwifarms due to a long period in which Chris Chan wasn't active online, so without content to troll Chris on, they moved onto other "lolcows" such as DarkSydePhil, AmberLynnReid, LowTierGod, Wingsofredemption, and more lesser known people.
Typically the site just monitor's these people, laughing at their activities (as the lolcow term would dictate). The big thing about Kikifarms that some had a problem with was that Kiwifarms does not censor speech in anyway. So calling someone the n-word, or Reeeee, or other deragatives was fair game.
Through Kiwifarms certain people would get a bit extra with their trolling and these trolls would get active in a lolcow's real life to inflict some sort of reaction. These were frowned upon by most members of the farms and were given the name "gay ops". The common moto on the farms was "look and laugh, but don't touch the poo poo" meaning laugh at these people from a distance and freely chat about their bullshit, but never try to get involved yourself.
Anyway Keffels, who I believe grooms minors from what i've heard but i'm not particularly interested in some minor league internet idiot, got wind that one of the lolcows on Kiwifarms was some trans person who recently died, again I'm not sure of how or why. Keffels then took it upon uh, themselves to spam report kiwifarms to it's hosting company because Keffels felt that KF was directly responsible.
Keffels is not the first person to try taking Kiwifarms down, and they aren't the first person to be successful (at least temporarily). KF always, eventually comes back. So we'll see if this sticks in the long run, which I highly doubt unless the owner finally just bails on it as not worth the headache anymore, especially since the main Lolcow, Chris Chan is likely gonna be in jail for a very long time so there is no reason to fight for the site anymore.