This paper addresses the Bernard-Marangoni convectively flow of Electrically Magneto Hydrodynamic (EMHD) second grade fluid over an exponentially stretching surface. Fluid motion is produced owing to the temperature and soluble gradient difference, hence Marangoni effects occurs if there is an archetypally deviations of surficial tensions at the two-phase interface. Flow is encouraged by non-Fourier heat flux perception. Impact of thermo-diffusion and diffusion-thermo are also incorporate in this study. Using the suitable transformation, the system of partial differential equations is discretized to nonlinear ordinary differential equations. The Maple built-in BVP mid rich technique applied to solve these equations. Impact study of entrenched physical non-dimensional parameter over the velocity, temperature and concentration profile are analyzed graphically and a comparative study also discussed with the existing literature. The local friction coefficient, Nusselt number and Sherwood numbers are employed in this study. The current work can also be considered as an extensive works in numerous branches of science and engineering.