Abstract: This invention addresses a cosmetic composition intended for making up the skin (face and body) that comprises: (a) a sensorial modification system that encompasses at least babassu polysaccharide; (b) at least one treated pigment; and (c) at least one optical diffuser. This cosmetic composition covers the skin evenly with make-up, with full coverage of the skin region, good adhesion, minimizing excessive shine, and leaving the skin feeling soft, satiny and velvety, among other advantages desired in a product such as this. This invention also addresses cosmetic products that encompass the above-mentioned cosmetic composition. This invention also encompasses the cosmetic use of babassu polysaccharide as a sensorial modifier.