  We apply a generalized Becchi-Rouet-Stora-Tyutin (BRST) formulation to
establish a connection between the gauge-fixed $SU(2)$ Yang-Mills (YM) theories
formulated in the Lorenz gauge and in the Maximal Abelian (MA) gauge. It is
shown that the generating functional corresponding to the Faddeev-Popov (FP)
effective action in the MA gauge can be obtained from that in the Lorenz gauge
by carrying out an appropriate finite and field-dependent BRST (FFBRST)
transformation. In this procedure, the FP effective action in the MA gauge is
found from that in the Lorenz gauge by incorporating the contribution of
non-trivial Jacobian due to the FFBRST transformation of the path integral
measure. The present FFBRST formulation might be useful to see how Abelian
dominance in the MA gauge is realized in the Lorenz gauge.
