Conventional Full scale plants use Open Mixed Cultures of microbes, where Anaerobic Archea are the responsible of produce methane. Check the literature for their names. But the most difficult task has been study those archea in pure cultures. Since they require the presence of acidogenic and acetogenic bacteria to growth. Cheers.
All previous answers are right. The production of methane is a result of a mixture of bacteria. So there is no "one" bacteria which is the best but a consortium. If it is for a practical use the best is to take a sample of a similar bioreactor and to add it to yours. If it is for a study, it is almost impossible to isolate methanogenic bacteria.