When reading the publication "Guo, X., Zhou, J., & Xiao, D. (2010). Improved ethanol production by mixed immobilized cells of Kluyveromyces marxianus and Saccharomyces cerevisiae from cheese whey powder solution fermentation. Applied biochemistry and biotechnology, 160(2), 532-538." I understood that authors found higher lactose consumption and ethanol production when a mixture of S. cerevisiae and K. marxianus cells where grown on a cheese-whey-powder medium, with respect to K. marxianus alone. I assume that higher lactose consumption and ethanol production is due to the simultaneous growth of both yeasts inoculated.
Then, my question is how it is possible for S. cerevisiae to growth on that medium with lactose as the only sugar initially present if this yeast is not able to degrade lactose, and beta-galactosidase of K. marxianus has an intracellular location, thus releasing glucose and galactose inside K. marxianus cells, as I am supossing that these monosacharydes will be metabolized by K. marxianus as soon as they are produced, and not released to external medium.