The present disclosure concerns a cosmetic product for modifying the natural color of keratinous fibers, in particular human hair, comprising at least one packaging (VP) and a cosmetic composition (KM) contained in this packaging (VP). The packaging is made of a multi-layer film (F) comprising at least two polymer layers (P1) and (P2) and at least one barrier layer (BS). The cosmetic composition comprises at least one oxidizing agent, at least one C8-C30 alcohol and at least one non-ionic surfactant. The use of the packaging (VP) in combination with the cosmetic composition (KM) does surprisingly not lead to an inflation of the packaging or an excessive loss of water of the agent (KM) during storage.
