Abstract: It is described a process to obtain increased milk production and/or greater milk protein concentration using supplements with a fatty acid mixture or through production of specific fatty acids within the animal. The process or the supplementation of the product described in this invention (supplements formulated with fatty acids mixtures and with adequate levels of metabolizable protein) allows greater efficiency and/or better quality and/or a healthier mammal with improved productivity. The process includes supplementation of specific types of fatty acids with or without ruminal protection to ruminants and, generally, a diet with metabolizable protein energy ratio greater than the one suggested by the state of the art. The process may include the production of the said compounds (conjugated fatty acids) on the animal itself from fat, certain compounds and microorganisms added to the diet capable of modifying the environment of the gut.