The current study investigates the flow of two‐dimensional nonlinear mixed convection heat and mass transfer of a hybrid nanofluid between two permeable porous disks. The heat and mass transfer are analyzed considering nonlinear thermal radiation and chemical reactions. In this work, we utilized morphological interfacial nanolayer thermal conductivity to demonstrate the impact of different shape factors, such as spherical, cylindrical, and laminar, on heat transfer analysis. We also incorporated magnetohydrodynamic (MHD) flow and viscous dissipation. By applying similarity techniques, the complex higher‐order system of nonlinear partial differential equations (PDEs) was transformed into a set of ordinary differential equations (ODEs). Two numerical methods, the 4th‐order Runge–Kutta (RK) method, and bvp4c, were utilized to obtain accurate solutions, with comparative analysis performed using the software Mathematica. An increase in nanolayer thickness from 0.4 to 1.6 significantly improved thermal performance. Additionally, an enhancement in the chemical reaction parameter ( from 0.2 to 1 led to an increase in the Sherwood number. We observed that the laminar shape factor provides a significantly better heat transfer rate than spherical and cylindrical shapes in both injection and suction scenarios for the lower porous disk. The effect of nanolayer thermal conductivity on the flow performance of hybrid nanofluids is significantly better compared to the noneffect of thermal conductivity.