  We consider the bosonized version of the Chiral Schwinger model in $(1+1)$
dimension with the generalized Faddeevian anomaly, which does not have the
Lorentz covariance structure and does not have gauge invariance either. BRST
embedding is made possible after making it gauge invariant by the incorporation
of Wess-Zumino field. For this $(1+1)$ dimensional anomalous model, we use the
Bonora-Tonin superfield formalism to construct the nilpotent and absolutely
anti-commuting anti-BRST as well as anti-co-BRST symmetry transformations. We
use the gauge-invariant constraints on the superfields defined onto the (2,
2)-Dimensional supermanifold along with the dual horizontality criteria. We
provide the conserved charges linked to the aforementioned nilpotent symmetries
as well as their geometric interpretation. The anti-BRST and anti-co-BRST
charges' nilpotency and total anticommutativity. It has also been confirmed
that, in the context of the augmented superfield formalism, the anti-BRST and
anti-co-BRST charges are nilpotent and absolutely anti-commutative. One notable
aspect of the current study is the application of the dual-horizontality
requirement to obtain appropriate anti-co-BRST symmetry
