I wonder why they seem to have escaped? I always thought they were better known than Z-Library (which forked off from them).
LibGen acts more like an archive that's hosted on IPFS which eliminates a lot of the liability and can't realistically be taken down. You can only download the books from the mirrors LibGen links to and they're often just IP addresses so there's no DNS zone to seize.
It is possible that Libgen's proprietors are known to law enforcement but never stepped within reach of Western legal authorities. Certainly, had Z-Library's staff all stayed within Russia, they never would have been arrested.