The objective of the current analysis is to implement the Cattaneo Christov heat (Non-Fourier’s) and mass flux (Non-Fick’s) concept in modified Buongiorno’s model for nanofluid magneto-transport phenomena over an extending cylinder in presence of gyrotactic microorganisms. The nanofluid comprises chemically reactive hybrid nanoparticles (Ag MgO Np’s) in the base fluid and Stefan blowing effect along with multiple slips is taken into account. The experimental correlations with their dependency on nanoparticle concentration are used for viscosity and thermal conductivity. The appropriate similarity transformations are applied to convert the PDE’s into non-linear ODE’s along with boundary conditions, prior to being evaluated computationally utilizing the Galerkin Finite Element Method (GFEM). The mesh independent test with different boundary layer thickness (ξ ∞) has been conducted by taking both linear and quadratic shape functions to achieve a optimal desired value. The numerical outcomes are in acceptable concurrence with those acquired from the literature. The results are calculated for realistic range of physical parameters. The warmth exhibitions are assessed through renowned Buongiorno’s model which effectively reflects the significant highlights of thermophoresis parameter(Nt = 0.001 to 0.05) and Brownian motion parameter (Nb = 0.001 to 0.05).