In order to further develop nuclear models/functions, it is important to test various models and functions included in cross-section calculations based on different reaction types, energy ranges, and masses. In this study, the dependence of nuclear ingredients such as level density, -nucleus optical model and γ-ray strength function on the cross-section were illustrated by making systematic calculations in the statistical model window. Reaction cross-section calculations were systematically performed for (α,γ) and (γ,α) reactions, which hold significant importance in astrophysics, on various target nuclei. Theoretical model calculations were compared with experimental data. For each set of experimental and calculated cross sections, the average deviation factor values were determined. The best-fit models and functions for all incoming alpha and gamma energies and for all target nuclei were identified.