From Luchawiki

The new Cuije was created by AAA after the original left AAA due to a pay dispute. Much like his associate Alebrije II, Cuije II has made many appearances for AAA and turned up on house shows, but has never been shown or even referred to on TV since his debut. The new character seems to exist largely to keep gimmick active. It's likely that this is not the first character the man under the mask has played, he may currently be active under another character, masked or unmasked.