In this research, a hierarchy of equations for evolution of one and two-point bivariate distribution for simultaneous velocity, magnetic, temperature, concentration fields and reaction in MHD turbulent flow in a rotating system undergoing a first order reaction in presence of dust particles have been derived. Various properties of constructed distributions such as reduction, separation, coincidence, symmetric and incompressibility conditions have been discussed. Finally, a comparison of the equation for one-point distribution functions in the case of zero viscosity and negligible diffusivity is made with the first equation of BBGKY hierarchy in the kinetic theory of gases.