  We consider effective actions of the cosmological Friedmann-Robertson-Walker
(FRW) models and discuss their fermionic rigid BRST invariance. Further, we
demonstrate the finite field-dependent BRST transformations as a limiting case
of continuous field-dependent BRST transformations described in terms of
continuous parameter $\kappa$. The Jacobian under such finite field-dependent
BRST transformations is computed explicitly, which amounts an extra piece in
the effective action within functional integral. We show that for a particular
choice of the parameter the finite field-dependent BRST transformation maps the
generating functional for FRW models from one gauge to another.
