Genetically engineered yeast with a heterologous glucoamylase and fermentation methods are described. The engineered yeast can have multiple exogenous nucleic acid sequences which each have a different sequence, but that encode the same or a similar glucoamylase protein that is heterologous to the yeast. The engineered yeast exhibit desirable bioproduct production profiles during a fermentation process. A fermentation medium with a starch material can be fermented with the engineered yeast to provide high ethanol titers, low glycerol titers, or both.