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We have studied BPS vortices in a CPT-odd and Lorentz-violatingMaxwell-Chern-Simons-Higgs (MCSH) electrodynamics attained from the dimensionalreduction of the Carroll-Field-Jackiw-Higgs model. The Lorentz-violatingparameter induces a pronounced behavior at origin (for the magnetic/electricfields and energy density) which is absent in the MCSH vortices. For somecombination of the Lorentz-violating coefficients there always exist asufficiently large winding number $n_{0}$ such that for all $% |n|\geq |n_{0}|$the magnetic field flips its signal, yielding two well defined regions withopposite magnetic flux. However, the total magnetic flux remains quantized andproportional to the winding number.

Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics