The paper presents the results of calculating the nuclear modification factors of π0 mesons as a function of their transverse momentum and azimuthal angle at different collision centralities of Cu+Au at an energy of 200 GeV and U+U at 193 GeV. As a result of the analysis of the obtained data, it was established that the azimuthal dependence of the nuclear modification factors of π0 mesons in both collision systems demonstrated universality in the considered range of transverse momentum and could be explained by the dependence of parton energy losses on the length of their path in the quark-gluon plasma (QGP). It is advisable to use these azimuthal dependences of nuclear modification factors for clarification of the parameters in theoretical models describing the energy losses of partons in the QGP formed in collisions of deformed nuclei or in asymmetric collision systems.