The yeast/meat extracts and peptone provide sources of carbon, nitrogen, and vitamins for general bacterial growth. The yeast extract also contains vitamins and amino acids required by Lactobacilli. Polysorbate 80 is a surfactant which assists in nutrient uptake by Lactobacilli. Magnesium sulfate and manganese sulfate provide cations used in metabolism.
See also
MacConkey agar (culture medium designed to grow Gram-negative bacteria and differentiate them for lactose fermentation).
^de Man, J.C.; Rogosa, M.; Sharpe, M.E. (1960). "A Medium for the Cultivation of Lactobacilli". Journal of Applied Bacteriology. 23 (1): 130–135. doi:10.1111/j.1365-2672.1960.tb00188.x.