Bbar{B} Mixing and CP Violation in SU(2)_L times SU(2)_R times U(1) Models

We reexamine the mass mixing and CP violation in the B\bar{B} system in general SU(2)_L \times SU(2)_R \times U(1) models related to the recent measurements. The right-handed contributions can be sizable in B\bar{B} mixing and CP asymmetry in B decays for a heavy W^\prime even with a mass about 3 TeV. On the other hand the lower bound on the mass of W^\prime can be taken down to approximately 300 GeV.