Hybrid nanofluids deliberately improve the characteristics of heat transmission and pressure drop in comparison to conventional nanofluids. The current study aims to inspect the energy transport and thermodynamic irreversibility effects of the buoyancy induced hybrid nanofluid flow. The mixture contains titania and argentum/silver nanoparticles over a vertically inclined stretching surface. The effects of heat generation and absorption, buoyancy and Lorentz force are added as well. The fact that nanoparticles have higher thermal and electrical conductivities means that this study can also be used for applications involving energy storage and catalytic supports. The problem is solved via bvp4c, a built-in technique in MATLAB. The similarity ansatzes are used to develop a system of ordinary differential equations. A comparison of current results with the existing ones in literature are also found to be in exact agreement. The asymptotic behavior for low and high magnetic number is determined. The nanoparticles concentration enhanced the flow field and temperature distribution; however, it reduced the entropy generation phenomenon and pressure field, causing pressure drop. The numerical and asymptotic values (for low magnetic number) of heat transfer rate and coefficients of skin frictions of free convective flow are declined due to increment in Prandtl number.