<p>Currently, researchers worldwide are conducting theoretical and experimental studies to understand the significance of nanofluids in heat transfer processes. These fluids are created by dispersing nanoparticles in a base fluid. Experiments have demonstrated that nanofluids exhibit superior and more attractive thermal properties compared to conventional fluids. In this current study, we discuss about the heat transfer enhancement of unsteady incompressible laminar couple stress nanofluid flow with Magnetohydrodynamics (MHD) between parallel plates. Prescribed temperature boundary conditions of the surface are employed on the porous surface and it is assumed that the temperature changes periodically over time on the plates. The flow is provoked by periodic suction as well as injection at the plates. With the aid of similarity variables, the system of governing transport equations is transformed into a nonlinear system of ordinary differential equations which is subsequently solved using shooting method along with Runge-Kutta fourth order scheme. The obtained results are shown graphically and explained for the non-dimensional velocity, heat profiles with diverse fluid parameters as well as geometric parameters. Nusselt number is calculated at the lower and upper plates. It is found that temperature component of the fluid is augmenting with suction-injection parameter, whereas it is decreasing in nature with respect to Reynolds number.</p>