The invention relates to an anhydrous composition comprising: (1) at least particles comprising a core containing at least one beneficial agent and a casing surrounding the core, the casing comprising at least one hydrophobic modified polysaccharide and at least one hydrosoluble carbohydrate and/or hydrosoluble polyol, the particles simultaneously having a poured powder density ranging from 300.0 g/l to 600.0 g/l and an absolute density of more than 1.0; and (2) at least one fatty phase comprising at least one solid fat and at least one oil; the composition having a hardness measured at 32°C in 40% humidity ranging from 15 kPa to150 kPa and preferably from 20 kPa to 100 kPa. The invention also relates to a cosmetic care and/or sanitary and/or conditioning and/or perfuming and/or make-up method for keratinic matter, consisting in applying to the keratinic matter a composition as defined above. The invention further relates to a cosmetic method for the treatment of body odours and optionally human perspiration consisting in applying to keratinic matter a composition as defined above comprising at least one deodorant and/or an antiperspirant in free form and/or in encapsulated form.La presente invención se refiere a una composición anhidra que comprende: 1) al menos partículas que comprenden un núcleo que contiene al menos un agente benéfico y una cubierta que rodea el núcleo; tal cubierta comprende al menos un polisacárido hidrofóbico modificado y al menos un carbohidrato soluble en agua y/o un poliol soluble en agua; tales partículas presentan de manera simultánea una densidad de polvo vertido desde 300.0 g/l a 600.0 g/l y una densidad absoluta superior a 1.0; y 2) al menos una frase grasa que comprende al menos un cuerpo graso sólido y al menos un aceite; tal composición tiene una dureza medida a 32°C bajo una humedad de 40% desde 15 kPa a 150 kPa y preferiblemente desde 20 kPa a 100 kPa. La invención se refiere también a un método cosmético de cuidad y/o de higiene