The effects of couple stress on the heat and mass transfer of pulsatile using Erying powel model non-Newtonian nanofluid flows between two porous parallel plates in the presence of Lorentz force are elucidated. The governing partial differential equations (PDEs) were non-dimensionalized using suitable non-dimensional quantities to transform the PDEs into a system of coupled non-linear partial differential equations (PDEs). The resulting equations are solved using the spectral relaxation method (SRM). The obtained results were plotted for concentration, temperature, and velocity and analyzed using some pertinent embedded parameters and physical quantities of scientific and engineering interest. In order to shed more light, these results were further demonstrated graphically. and in tabular forms.