A method is provided of making a medicinal delivery system which satiates a craving in an individual when the medicinal delivery system is administered orally to the individual. A coating composition is applied on a saliva-soluble powder to establish a coated powder, the coating composition featuring an at least partially solubilized craving satiation medicinal compound. The coated powder is combined with an edible carrier base to establish a medicinal delivery system that rapidly releases medicine and buffer preferably followed by slower, sustained release.