A solid state soybean meal fermentation method to reduce non-starch polysaccharides and alpha-galactosides, comprising the steps of: a) preparation of a fermentation substrate; b) inoculating the substrate with selected bacterial strains; and c) incubation, characterized in that the selected bacterial strains comprise a mixture of: (i) a bacterial strain belonging to the Cohnella sp gender deposited on November 25 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50604, wherein said strain is Gram positive, fusiform and has a high total cellulolytic activity and high alpha-galactosidase activity; (ii) a bacterial strain belonging to the Streptomyces sp gender, deposited on November 25, 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50602, wherein said strain is Gram positive, has cocobacilli shape and high total cellulolitic activity and high alpha-galactosidase activity; (iii) a bacterial strain belonging to the Cellulosimicrobium sp gender, deposited on November 25, 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50603, wherein said strain is Gram positive, has cocos shape and has high endo-1.4-beta-xylanase activity; and (iv) a bacterial strain belonging to the Streptomyces sp gender, deposited on November 25, 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50601, wherein said strain is Gram positive has mycelium shape and shows a fast growth on NSPs extracted from soy; and in that the incubation is carried out with the mentioned mixture. a) preparation of a fermentation substrate; b) inoculating the substrate with selected bacterial strains; and c) incubation, (i) a bacterial strain belonging to the Cohnella sp gender deposited on November 25 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50604, wherein said strain is Gram positive, fusiform and has a high total cellulolytic activity and high alpha-galactosidase activity; (ii) a bacterial strain belonging to the Streptomyces sp gender, deposited on November 25, 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50602, wherein said strain is Gram positive, has cocobacilli shape and high total cellulolitic activity and high alpha-galactosidase activity; (iii) a bacterial strain belonging to the Cellulosimicrobium sp gender, deposited on November 25, 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50603, wherein said strain is Gram positive, has cocos shape and has high endo-1.4-beta-xylanase activity; and (iv) a bacterial strain belonging to the Streptomyces sp gender, deposited on November 25, 2011 in the Agricultural Research Service Culture Collection (NRRL) of the U.S. Department of Agriculture with access number NRRL 8-50601, wherein said strain is Gram positive has mycelium shape and shows a fast growth on NSPs extracted from soy;