  We investigate the existence of first-order vortices inherent to both the
Maxwell-Chern-Simons-Higgs and the Maxwell-Chern-Simons-$CP(2)$ models extended
via the inclusion of an extra scalar sector which plays the role of a source
field. For both cases, we focus our attention on the time-independent
configurations with radial symmetry which can be obtained through the
implementation of the so-called Bogomol'nyi-Prasad-Sommerfield (BPS)
prescription. In this sense, in order to solve the corresponding first-order
differential equations, we introduce some particular scenarios which are driven
by the source field whose presence, we expect, must change the way the
resulting vortices behave. After solving the effective first-order system
through a finite-difference algorithm, we comment about the main new effects
induced by the presence of the source field in the shape of the final
configurations.
