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In the framework of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST)formalism, the derivation of the (anti-)BRST nilpotent symmetries for thematter fields, present in any arbitrary interacting gauge theory, has been along-standing problem. In our present investigation, the local, covariant,continuous and off-shell nilpotent (anti-)BRST symmetry transformations for theDirac fields $(\psi, \bar\psi)$ are derived in the framework of the augmentedsuperfield formulation where the four $(3 + 1)$-dimensional (4D) interactingnon-Abelian gauge theory is considered on the six $(4 + 2)$-dimensionalsupermanifold parametrized by the four even spacetime coordinates $x^\mu$ and acouple of odd elements ($\theta$ and $\bar\theta$) of the Grassmann algebra.The requirement of the invariance of the matter (super)currents and thehorizontality condition on the (super)manifolds leads to the derivation of thenilpotent symmetries for the matter fields as well as the gauge- and the(anti-)ghost fields of the theory in the general scheme of the augmentedsuperfield formalism.Comment: LaTeX file, 16 pages, printing mistakes in the second paragraph of  `Introduction' corrected, a footnote added, these modifications submitted as  ``erratum'' to IJMPA in the final for

NILPOTENT SYMMETRIES FOR MATTER FIELDS IN NON-ABELIAN GAUGE THEORY: AUGMENTED SUPERFIELD FORMALISM