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In this model the strong first order phase transition due to the spontaneous symmetry breaking imposes the folowing condition on the mass of the Higgs field: $m_H\\lesssim 40 GeV$, which is contrary to the recently observed value $m_H\\simeq 126 GeV$. In this paper we propose a baryogenesis mechanism within a two-Higgs-doublet model in which the phase transition occurs in one stage. This model is consistent with the observed mass of the Higgs. 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