In this paper, the cosmic phase transition is investigated by background gauge field method. As a continuation of previous our work, some numerical results and graphic solutions at $T\neq 0$ are presented. Hence the mechanism of cosmic phase transition in the early Universe is considered. It is shown that the breaking of symmetry significantly depend on the nonzero temperature and chemical potential. Furthermore, it is the first order of phase transition. Non - restoration of symmetry in hot gauge theories for Cosmology.