An anhydrous composition in powder or paste form, containing:30% to 55% by weight, relative to the weight of the composition, of a pulverulent phase containing organic, mineral or composite solid particles, and mixtures thereof;a mixture of at least one organopolysiloxane elastomer conveyed in at least a first silicone or hydrocarbon-based non-volatile oil, the content of organopolysiloxane elastomer representing from 2% to 10% by weight relative to the weight of the composition, expressed as active material; anda binder phase representing 30% to 65% by weight, relative to the weight of the composition, containing: a second non-volatile hydrocarbon-based oil different from the first oils, the content of the second non-volatile hydrocarbon-based oil representing greater than 10% to 20% by weight, relative to the weight of the composition; andoptionally at least one wax in a content not exceeding 5% by weight, relative to the weight of the composition.