I looked at biomethanation, H2 supplemention and a two-phase system, but I was hoping to look at other technologies if they existed. Any recommendations would be appreciated.
Converting CO2 to CH4 (methane in biogas) requires a lot of H2 (hydrogen) in one form or another. This is basic chemistry: 4.H2 + CO2 > CH4 +2.H2O.
Let's not forget that biogas itself contains a lot of CO2 aside from CH4 and also this is (microbial) chemistry. However, the required hydrogen H2 can be supplied in other ways than by adding H2 gas.