The present paper deals with the magnetic binary problem in the framework of restricted problem of three bodies. The bigger primary is taken as the source of radiation pressure and smaller primary is taken as point mass. The parametric evolution of the position and existence of libration points are explored. The study of zero velocity curves and the stability of libration points are one of the critical aspects of this investigation. A systematic probe to find out the influence of solar radiation pressure q, ratio of magnetic moments λ and mass ratio μ on the geometry of basins of attraction is carried out. The shape of the basins of attraction is significantly affected by the variation of these parameters. It is also found that the presence of solar radiation pressure and ratio of magnetic moments increase the unpredictability of basins of attraction. Variation of the mass ratio μ also affects the evolution of libration points as well as the geometry of basins of attraction.