  We derive the nilpotent (anti-)BRST and (anti-)co-BRST symmetry
transformations for the system of a toy model of Hodge theory (i.e. a rigid
rotor) by exploiting the (anti-)BRST and (anti-)co-BRST invariant restrictions
on the (anti-)chiral supervariables that are defined on the appropriately
chosen (1, 1)-dimensional super-submanifolds of the {\it general} (1,
2)-dimensional supermanifold on which our system of a one (0 + 1)-dimensional
(1D) toy model of Hodge theory is considered within the framework of the
augmented version of the (anti-)chiral supervariable approach (ACSA) to
Becchi-Rouet-Stora-Tyutin (BRST) formalism. The general (1, 2)-dimensional
supermanifold is parameterized by the superspace coordinates ($t, \theta,
\bar\theta$) where $t$ is the bosonic evolution parameter and ($\theta,
\bar\theta$) are the Grassmannian variables which obey the standard fermionic
relationships: $ {\theta}^2 = {\bar\theta}^2 = 0, {\theta}\,{\bar\theta} +
{\bar\theta}\,{\theta} = 0 $. We provide the geometrical interpretations for
the symmetry invariance and nilpotency property. Furthermore, in our present
endeavor, we establish the property of absolute anticommutativity of the
conserved fermionic charges which is a completely {\it novel} and surprising
observation in our present endeavor where we have considered {\it only} the
(anti-)chiral supervariables. To corroborate the {\it novelty} of the above
observation, we apply this ACSA to an ${\cal N} = 2$ SUSY quantum mechanical
(QM) system of a free particle and show that the ${\cal N} = 2$ SUSY conserved
and nilpotent charges do {\it not} absolutely anticommute.
