The present disclosure concerns a cosmetic product for changing the natural colour of keratinous fibres, in particular human hair, which contains at least one package (VP) as well as a cosmetic composition (KM) contained in this package (VP). The package is formed from a multilayer film (F) which contains at least two polymer layers (P1) and (P2) as well as at least one barrier layer (BS). The cosmetic composition comprises at least one oxidizing compound and at least one thickening agent, wherein the oxidizing compound is a solid oxidizing compound, in particular a percarbonate. The cosmetic product is in the form of a double sachet in which a colour composition (FZ) is provided in addition to the cosmetic composition (KM).