Lactic acid bacteria are facultative bacteria capable of growing in presence or absence of oxygen but in most of the research papers I read, they are cultured anaerobically
I agreed with Luis. the most interesting part of Lactic acid bacteria is in their anaerobic metabolite. that is why most papers cultured them in anaerobic conditions.
In line with Luis and Suphamid, lactic acid bacteria are generally used in the food industry via anaerobic fermentation. Aerobic culture also holds some promise in the food, biotech, health and agriculture industry (Pedersen et al. 2012: Annu. Rev. Food Sci. Technol. 2012. 3:37–58).