Abstract We provide a theoretical study of the effect of interfacial Rashba spin-orbit coupling (SOC) and insulating interfaces on the Josephson effect between two d-wave superconducting electrodes connected through ferromagnet, based on the Bogoliubov-de Gennes approach and the extended McMillan’s Green function formalism. Our results reveal that the appearance of anomalous and diode Josephson effect is conditioned by the presence of interfacial Rashba SOC, nonzero component of exchange field perpendicular to plane of the junction, and nonsymmetric orientation of two d-wave superconducting electrodes, which is in accordance with the presented symmetry analysis. We show that enhancement of non-reciprocity (higher than 30%) of the supercurrent in this kind of the junction can be realized by tuning the orientation of the both superconductors, the strength of exchange field in ferromagnetic barrier, Rashba SOC at the interfaces, as well as optimizing interface transparency. We predict that phase transition between 0-like and π-like states, that can occur through phase jump or continual, can be achieved not only by changing strength of exchange field, but also by modulating the strength of the Rashba SOC. Our results also show significant temperature dependence of diode characteristics and predict the possibility of a temperature induced 0-π-like phase transition.