  A magneto-optical trap (MOT) of atoms or molecules is studied when two lasers
of different detunings and polarization are used. Especially for $J\rightarrow
J,J-1$ transitions, a scheme using more than one frequency per transition and
different polarization is required to create a significant force. Calculations
have been performed with the simplest forms of the $J\rightarrow J-1$ case
(i.e. $J''=1 \rightarrow J'=0$) and $J\rightarrow J$ case (i.e. $J''=1/2
\rightarrow J'=1/2$). A one dimensional (1D) model is presented and a complete
3D simulation using rate equations confirm the results. Even in the absence of
Zeeman effect in the excited state, where no force is expected in the single
laser field configuration, we show that efficient cooling and trapping forces
are restored in our configuration. We study this mechanism for the C$_2^-$
molecular anion as a typical example of the interplay between the two simple
transitions $J \rightarrow J,J-1$.
