Various aspects of Anaerobic Digestion (AD) have been became a promisingrntechnology for the management of Municipal Solid Waste. Thus, the objective ofrnthis study was to optimize the production of biogas from these wastes by usingrntwo-stage anaerobic digester. To achieve this, batch anaerobic digestionrnexperiments were conducted to determine the optimum methane producedrnfrom the digestion and co-digestion of Organic Fraction of Municipal SolidrnWaste (OFMSW) and Cow Manure (CM) in different mix operated underrnambient condition. Moreover, this study presents several runs of experimentrnand analysis with the aim of substrate mix and the duration of overall stage ofrndigestion process while optimizing the biogas generation with higher methanerncontent. The physical and chemical characteristic of the sample done byrnanalytical method, volume of biogas produced and methane composition ofrndifferent mix of the feed stock were determined by water displacement andrndigital gas (SR2-BIO gas analyzer), respectively. The highest specific gasrnproduction observed was 353 L/Kg VS added for the digestions of 1:2 mix ofrnOFMSW: CM. It was observed that the independent variable â€“ mix ratiornsignificantly affect (p-value 4.18*10-9) the dependent variable â€“ amount ofrnmethane produced since the p-value is less than the chosen Î±-level usuallyrn0.05. The calculated volume of methane in the biogas produced per Kg ofrnvolatile solid removed were 510L, 355L, 375L, 435L and 600L for OFMSWrn(100%), 2:1 mix of OFMSW: CM, CM (100%), 1:1 and 1:2 mix of OFMSW: CM,rnrespectively. In general From the digestion of 1:2 mix of OFMSW: CM: 0.47rnm3/d/m3 biogas with 51.5% methane content was produced; 0.45 m3/d/m3,rn0.35 m3/d/m3, 0.26 m3/d/m3, and 0.23 m3/d/m3, biogas with 31.4%, 42.9%,rn20.3% and 33.7 % methane composition is produced from 1:1 mix of OFMSW:rnCM, CM alone, OFMSW alone and 2:1 1 mix of OFMSW: CM respectively. Thernmix ratio significantly affects the biogas production (p-value