Composite materials have long been in great demand for industrial purposes, particularly in the field of lightweight automobile and aircraft applications. The theory of numerical analysis provides a useful account of how Fibre-reinforced composites can be developed to prevent failure analyses and produce new composite materials. Therefore, to get an advantage from this theory, an effort has been made in this research. A systematic, Multi-stage algorithm based on MATLAB software was established to generate a code that can manipulate data of tensile and flexural tests for composite materials made from glass fibre epoxy composites (GF/Ep) and carbon fibre epoxy composites (CF/Ep). The current numerical framework was implemented using suggested code to handle data from stress-strain curves and predict ultimate strength, strain, and fracture toughness values, undergoing a validation process. The key findings were the GF/Ep-based composite showed better strain failure and an energy absorption value of 12.3 MJ/m³/and 7.0 MJ/m³ in tension and flexure, respectively. This is suggested to have better performance in fracture toughness. Furthermore, the outcome results also showed that on GF/Ep, it is less stiff, with a value of 21.3 GPa and a bending failure value of 400 MPa.