  In this work we propose a parity-invariant Maxwell-Chern-Simons $U(1) \times
U(1)$ model coupled with two charged scalar fields in $2+1$ dimensions, and
show that it admits finite-energy topological vortices. We describe the main
features of the model and find explicit numerical solutions for the equations
of motion, considering different sets of parameters and analyzing some
interesting particular regimes. We remark that the structure of the theory
follows naturally from the requirement of parity invariance, a symmetry that is
rarely envisaged in the context of Chern-Simons theories. Another distinctive
aspect is that the vortices found here are characterized by two integer
numbers.
