The current mathematical configuration mainly focuses on the boundary layer flow of hybrid nanofluid with gyrotactic microorganisms and porous medium across the rotating disk. The heat and mass transport evaluation is done with double diffusion theory, Joule heating effect, and chemical reaction. The surface of the disk experiences multiple slip boundary conditions. The two nanoparticles, Ag and MgO, are mixed into water to form a hybrid solution. The flow model is transferred into self-similar nonlinear ODEs with appropriative transformation. These nonlinear ODEs are numerically explained using the BVP4C MATLAB approach. The physical quantities are also discussed withthe tabulated data, and the assessment is done with previous research. It is worth noting that higher values of solid volume fraction improved the velocity field and the temperature of the fluid . Stronger estimation of porosity parameter and inertia coefficient decline the velocity distribution.