We have synthesized the polycrystalline R2BaCuO5 (R = Dy & Ho) and studied its physical properties. Indeed, both the studied compounds exhibit the polarization below rare earth ordering temperature i.e. 8 (Ho) and 10.7 K(Dy), demonstrating the magnetoelectric behavior. To explain the microscopic origin of observed spin induced polarization, the knowledge of magnetic structure is required. We have done some initial theoretical analysis using the existing information about the magnetic structure reported of the family members of this series which hints that the existing literature is not sufficient and inconsistent with observed polarization and the magnetoelectric behavior cannot be explained with the existing literature. Therefore, the temperature dependent neutron diffraction measurements and the careful analysis of magnetic structure will be helpful and only possible way to understand