Cosmetic use of a composition (I) comprising a combination of at least one monosaccharide containing mannose and/or rhamnose, and at least one antioxidant, in a medium, for reducing and/or preventing signs of skin aging or its integuments, is claimed. Independent claims are included for: (1) device comprising the combination and at least one antioxidant; and (2) set comprising: a composition A containing at least one antioxidant; and a composition B, packaged separately from the composition A, comprising at least one monosaccharide comprising mannose and/or rhamnose. ACTIVITY : Dermatological; Endocrine-Gen. MECHANISM OF ACTION : Procollagen 1 synthesis stimulator.