The present invention relates to a process for treating keratinous materials, preferably human skin, in particular the lips in at least two steps, firstly implementing the application to said materials of an oily dispersion A) comprising i) particles of copolymers of alkyl acrylates and acrylic anhydrides, ii) stabilizers, iii) one or more hydrocarbon oils; then, in a second step, the application to said materials of a composition (B) comprising iv) one or more amino compounds, it being understood that the process of the invention implements v) one or more cosmetic active agent (s) ( s) chosen from a) pigments, b) skin care active ingredients and c) UV filters as well as d) mixtures thereof; the ingredients a) to d) possibly being in composition (A), and / or in composition (B), and / or in another composition (C). The method of the invention makes it possible to obtain a treatment of said keratin materials which are resistant in particular to sweat, shower gels, water and fatty substances, in particular vegetable or animal edible oils, and more particularly vegetable oils such as l olive oil, sunflower oil, walnut, hazelnut, etc. The process for treating keratin materials of the present application is also suitable for making up the skin or the lips such as foundations, and lipsticks. La présente invention concerne un procédé de traitement des matières kératiniques, de préférence la peau humaine, en particulier des lèvres en au moins deux étapes mettant en œuvre dans un premier temps l'application sur lesdites matières d'une dispersion huileuse A) comprenant i) des particules de copolymères d'acrylates d'alkyle et acryliques d'anhydrides, ii) des agents stabilisants, iii) une ou plusieurs huiles hydrocarbonées ; puis dans un deuxième temps l'application sur lesdites matières d'une composition (B) comprenant iv) un ou plusieurs composés aminés, étant entendu que le procédé de l'invention met en œuvre v) un ou plusieurs actif(s) cosmétique(s) choisi(s) parmi les