[en] We present theoretical analysis of paired $B_c$ mesons production in $e^{+}{e}^{-}$ annihilation at different energy scales taking into account full next-to-leading order QCD corrections. Both possible electroweak channels are considered: production via virtual photon and via virtual Z-boson. We study in detail the role of radiative QCD corrections, which were found to be significant especially at low energies. It is shown that the contribution from Z-boson is significant at high energies ($\sqrt{s}>M_Z/2$) especially in the case of paired production of pseudo-scalar and vector ($B_c+B_c^{⁎}$) mesons. Azimuthal asymmetry induced by a P-violating weak interaction with Z-boson is also analyzed.