Gluttony

A Pokémon with Gluttony will use a pinch berry when its HP drops to 50%, rather than the usual 25%. Pinch berries are: Figy, Wiki, Mago, Aguav, Iapapa, Liechi, Ganlon, Salac, Petaya, Apicot, Lansat, Starf, Micle and Custap. (Their descriptions state that they work in a pinch.)

Game descriptions

Diamond, Pearl, Platinum, HeartGold, SoulSilver:Encourages the early use of a held Berry.
Black, White, Black 2, White 2:Encourages the early use of a held Berry.
X, Y, O.Ruby, A.Sapphire:Makes the Pokémon use a held Berry earlier than usual.
Sun, Moon, Ultra Sun, Ultra Moon:Makes the Pokémon eat a held Berry when its HP drops to half or less, which is sooner than usual.
Sword, Shield, B.Diamond, S.Pearl:Makes the Pokémon eat a held Berry when its HP drops to half or less, which is sooner than usual.
Scarlet, Violet:If the Pokémon is holding a Berry to be eaten when its HP is low, it will instead eat the Berry when its HP drops to half or less.

Gluttony

Game descriptions

Pokémon with this ability (32)