Unlike almost every New Mainstream Pokemon Game released in the past, this game actually doesn't contain all the attacks previously released within the Mainstream Pokemon Games. Believe it or not, hundreds of previously existing Pokemon Attacks are not found in this game. This is primarily because only Kanto Region Pokemon can be found within the coding of this game, meaning all the attacks that are exclusive to later-released Pokemon Can't Be Found.
Since Z-Crystals weren't carried over from Pokemon Sun & Moon to this game, this also means all the Z-Moves Can't Be Found as well. Furthermore, since this game is practically a mix between Pokemon Yellow and Pokemon GO, most of the attacks that aren't found in those two games can't be found in this one either.