In anaerobic digestion (AD) of food waste (FW), an imbalance in the proportion of highly biodegradable waste can lead to the accumulation of organic acids or ammonia, which in turn affects the stability of the system. Using garden waste (GW) to co-digest with FW will reduce the biodegradable organic loading, while carbon-rich GW may impact the hydrolysis process. Hence, this study conducted a 16-day two-phase AD treating FW and GW at a mixing ratio of 0 %, 25 %, 50 %, and 75 % GW/FW in a 50 mL working volume with 50 % of acidogenic solution being replaced daily. Acetivibrio thermocellus, a holocellulose degradative bacteria, was introduced to assess the effect of its bioaugmentation on the overall AD performance. The analysis of the organic matter removal efficiency and biogas production showed that the recalcitrant lignocellulosic fraction in the substrate inhibited the hydrolysis and hydrogen production at 75 % GW. Notably, bioaugmentation with A. thermocellus significantly promote substrate degradation (especially the utilization of holocellulose). In addition, A. thermocellus increased hydrogen and methane yield by 141.78 % (from 39.18 mL/g VS added to 94.73 mL/g VS added) and 69.89 % (from 170.56 mL/g VS added to 280.77 mL/g VS added), respectively, at 50 % GW, leading to a 74.93 % increase in overall energy recovery. These findings indicate that adjusting the proportion of carbon-rich biomass is important in AD system, which provides insights into A. thermocellus bioaugmentation strategies in two-phase anaerobic co-digestion.