This manuscript presents the diffusion thermo and thermo diffusion effects on unsteady MHD natural convection heat and mass transfer flow past an accelerated vertical porous plate in the presence of thermal radiation, variable temperature and also variable concentration. The non-dimensional governing equations are coupled non-linear partial differential equations for which the exact solution is not possible. Hence these equations are solved numerically by using finite difference scheme. The effects of different physical parameters involved in the problem are presented and discussed with the help of graphs. The fluid velocity increases with the increasing values of Grashof number, modified Grashof number, Soret number, Dufour number and permeability of the porous medium, but a reverse behavior is found in the case of magnetic parameter and Prandtl number. The fluid temperature falls down for increasing values of radiation parameter, heat sink parameter and Prandtl number, whereas enhancement in the fluid temperature is found in the case of Soret and Dufour effects. Increasing values of Soret number results in rising of the concentration, but it falls down under the influence of Dufour number and Schmidt number.