  We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the
Freedman-Townsend (FT) model of topologically massive non-Abelian theory by
exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the
existence of some novel features that are totally different from the results
obtained in such a kind of consideration carried out for the dynamical
non-Abelian 2-form theory. We tap here the potential and power of the
"augmented" version of Bonora-Tonin's superfield approach to BRST formalism to
derive the full set of off-shell nilpotent and absolutely anticommuting
(anti-)BRST symmetry transformations where, in addition to the horizontality
condition (HC), we are theoretically compelled to exploit the appropriate
gauge-invariant restrictions (GIRs) on the (super)fields for the derivation of
the appropriate symmetry transformations for all the relevant fields. We
compare our key results with that of the other such attempt for the discussion
of the present model within the framework of BRST formalism.
