The current study investigates anaerobic biodigestion (AD) of two livestock manure, camel dung (CD) and sheep manures (SM) mixed with tomato and rumen at different mixed ratios under mesophilic (24-34 °C) conditions. The study yielded successful results as the process was able to produce sustainable bioenergy. Predicted biogas data was acquired through fundamental mathematical calculations using SPSS statistical analysis by non-linear regression. Three kinetic models, the modified Gompertz, Logistic, and Transference models, were used for simulating the daily biogas produced from the examinations, and model parameters were determined simultaneously. The three models performed well in AD simulations, with high correlation coefficient values (R-squared) and low root mean square error (RMSE) showing a significant link between experimental data and model parameters. However, modified Gompertz demonstrated an improved fit in the simulation of the measurements, as it could accurately represent the curves in the plots, with the highest R-squared was 0.987 compared to Logistics 0.981 and Transference models 0.933, and the lowest RMSE was 0.356 compared to 0.432, and 0.812, respectively. This work has suggested that a modified Gompertz model is suitable for estimating the biogas yield potential. The findings also show that rumen, tomato, and control biodigesters operating in mesophilic environments are dependable choices for producing biogas.