Abstract: Most of the nuclei in the nuclear chart exhibit the deformed shapes that deviate from the spherical symmetry. It is crucial to consider the degree of deformation in order to provide a reliable theoretical description of unstable nuclei. With the advent of the new generation of radioactive-ion-beam facilities and detection techniques in recent years, an increasing number of unstable nuclei have been discovered. And the novel phenomena observed in unstable nuclei are closely related to deformation effects. Taking into account the freedom of the axial quadruple deformation, the axially deformed relativistic Hartree-Fock-Bogoliubov (D-RHFB) theory has been established. Based on the D-RHFB model, the qualitative analysis on the nature of the \pi-PV and \rho-T couplings vertex has been presented. Furthermore, this work considers light nuclei ²⁰Ne, ²⁴Mg and unstable nuclei ¹¹Be as examples to review the influence of \pi-pseudovector and \rho-tensor coupling as well as the tensor force components in \pi-pseudovector coupling, on the structure of deformed nuclei. The focus is on the effect of these two coupling channels on the enhancement of deformation effects.