Biogas production from the anaerobic process of organic waste can be described as a clean and renewable source of energy which can be utilized to substitute fossil fuels for electricity and heat generation. On the other hand, biogas produced by the anaerobic digestion of organic materials makes renewable energy sustainable, reliable, and feasible. This study presents optimized experimental biogas production from anaerobic co-digestion of biomass feedstock with wheat bran and energy and exergy analysis of a multi-generation system. The experimental stage includes the co-digestion of livestock manure with wheat bran; three sets of experiments were conducted for 21 consecutive days of retention time at the mesophilic condition of 37 ℃ and using a water displacement experimental setup. The biogas yields obtained for the co-digestion of wheat bran with cow dung (A), wheat bran with poultry dung (B) and wheat bran (C), are 48.02, 32.54 and 0.00 m3/ton, respectively. These values are acceptable values of biogas yields for livestock manure co-digestion. The average chemical oxygen demand removal efficiency achieved in this study was 7.0–90.6%, respectively. In addition, upon comparison with standard biomass feed, the electricity potential from co-digestion revealed that 115 and 92 kW capacity could be produced from co-digestion of cow dung, wheat bran and poultry dung, respectively. According to the simulation conducted with engineering equation solver software (EES) on the modelled biogas plant, an energy efficiency of 46% was achieved by integrating the digestion process into the steam and gas cycle, for better heat utilization.