The Pokémon TCG only has 4 types of “official” formats, where only 2 are officially sanctioned at Play! Pokémon Events. I say types because lists and bans may change between years. These include Standard and Expanded, which are sanctioned, as well as Unlimited and Half-Deck, which were created by The Pokémon TCG, but are not sanctioned. :P
None of these are doubles formats, and it is unlikely a doubles format will ever exist. :P
Hope I helped!