Hydrogen is considered as a renewable energy source and it is also regarded as future fuel. Currently, hydrogen production through a biotechnological approach is a research priority. Hydrogenogens, a microbial species, are of significant interest to researchers because of their ability to produce biological hydrogen. Carboxydothermus hydrogenoformans Z-2901 is one among the hydrogenogens that can grow anaerobically by utilizing pyruvate as a carbon source, and can produce molecular hydrogen. In the present study, we performed an in silico kinetic simulation using the available Kyoto Encyclopedia of Genes and Genomes (KEGG) model and reconstructed pyruvate metabolism in C. hydrogenoformans Z-2901. During this metabolism, dissimilation of pyruvate leads to the formation of energy co-factors, such as ATP and $NAD^+$/NADH, and the level of these co-factors influences the specific growth rate of organism and hydrogen production. Our strategy for improving hydrogen production involves maximizing the ATP and $NAD^+$ yield by modification of kinetic properties and adding new reactions in pyruvate metabolism through metabolic pathway reconstruction. Moreover, the influence of phosphoenol pyruvate carboxylase and pyruvate dehydrogenase enzyme concentration on cofactor productions was also simulated. The theoretical molar yield of ATP and $NAD^+$ were obtained as 2.32 and 1.83 mM, respectively, from 1 mM/mg of phosphoenol pyruvate (PEP) utilization. A higher yield of ATP is achieved when the PEP level reaches 5 mM/mg. This work also suggests that PEP can be considered as an alternative substrate. In conclusion, the simulation results reported in this paper can be applied to design and evaluate strategies of strain construction for optimal hydrogen yield in C. hydrogenoformans.