This study investigates the effects of the MHD flow via an exponentially extending surface of a Casson hybrid nanofluid made of graphene and carbon nanotubes. The directions of flow were subjected to the standard Lorentz force. With basic Casson nanofluid, we took CNTs and graphene into consideration. The velocity, temperature and concentration profiles are simulated using a mathematical model established under the flow suppositions by utilizing boundary exponentially layer surface approximations in equations using partial differentials (PDEs). The lie symmetry method was used to achieve a suitable performance of mathematical transformations. After applying the necessary transformations, partial differential equations (PDEs) were transformed into ordinary differential equations (ODEs). The dimensionless system was explained using a numerical with 4th-order Runge–Kutta method called bvp4c. Both tabular and depicted graphical representations were used to show the influence of relevant flow parameters on skin friction, Nusselt number, velocity, temperature, and concentration distributions. Furthermore, The Casson fluid parameter, magnetic field strength, Brownian motion, random motion, volume fraction, and radiation parameter cause the temperature profiles to rise at the surface can be observed. Also, increasing with Brownian motion, thermophoretic parameter, and radiation parameter increases the primary velocity while decreasing with Casson fluid parameter and magnetic field parameter. Furthermore,insight into system irreversibility and demonstrates actual system transit from a low entropy configuration to a high entropy configuration.