In non-Abelian cavity quantum electrodynamics (QED) model, by using field quadrature operators instead of typical boson ladder operators, the interaction properties between atoms and polarized light are investigated. The effects of the initial two-mode polarized light on atomic population reversion and squeezing properties of polarized light are also examined. The results show that relative phase angle and ellipticity angle are both important to the evolution of the atomic population reversion, which will not be changed and goes to the initial value 0 for the right-handed circularly polarized light, but which will present periodic collapse-revival phenomenon for the left-handed circularly polarized light. Furthermore, the left-handed circularly polarized light can be periodically squeezed for the left-handed circularly polarized light, however, it could not appear continually for the right-handed circularly polarized light.