The present invention relates to the supply and production of an animal medicine consisting of a substrate in pellet or tablet form, which is attractive to livestock and domestic animals, in which fine-grained particles of a neutral-tasting, physiologically compatible, solid carrier material are embedded, which is characterised in that said fine-grained particles of carrier material have an average diameter of 0.09 to 0.8 mm and are coated with an active substance from veterinary medicine, and said active substance layer is covered with a protective layer of a physiologically compatible polymer matrix, and to the production of this animal medicine. It also relates to the usage of said double-coated, fine-grained particles of carrier material in the production of a preparation for veterinary medicine.