A process is disclosed for producing a feed co-product by ethanol fermentation of plant matter comprising starch and another polysaccharide selected from the group consisting of hemicellulose and cellulose. The process comprises: (i) carrying out a primary fermentation process, distilling the primary fermentation mixture to form a primary feed co-product derived from the fermentation of the primary fermentation mixture and a primary distillate product comprising ethanol and (ii) carrying out a secondary fermentation process and distilling the secondary fermentation mixture to form the modified feed co-product and a secondary distillate product comprising ethanol.