The Pokemons I transported on Pokemon bank do not allow to participate in rated battles Doesn anyone know why???
PokeTransfered Pokemon cannot participate in rated battles. You can always breed them if you want them to participate. They need the blue checker symbol before they can participate in Rated Battles.
Source: Here
PokeTransfered Pokemon can participate in rated battles. In Season 4 of rated battles, any Pokemon except the following can participate:
Mewtwo, Mew, Lugia, Ho-Oh, Celebi, Kyogre, Groudon, Rayquaza, Jirachi, Deoxys, Dialga, Palkia, Giratina, Phione, Manaphy, Darkrai, Shaymin, Arceus, Victini, Reshiram, Zekrom, Kyurem, Keldeo, Meloetta, Genesect, Xerneas, Yveltal, and Zygarde