Usually identification of anaerobic microbes is via molecular technique PCR using primer pairs for archaea. Thus 20 ml of digestate/slurry sample is mixed with 20 ml of 99% ethanol and keep frozen at - 20 degree celcius prior to DNA extraction. The rest is following protocol in extraction kit provided by the supplier. As example you can use Fast DNA Spin Kit for Soil (MP Biomedicals Heidelberg, Germany).
Good luck!
p.s. Those method mentioned are from thesis of Nuruljannah Khairuddin