  In this paper, we investigate the anisotropic interior spherically symmetric
solutions by utilizing the extended gravitational decoupling method in the
background of $f(G,T)$ gravity, where $G$ and $T$ signify the Gauss-Bonnet term
and trace of the stress-energy tensor, respectively. The anisotropy in the
interior geometry arises with the inclusion of an additional source in the
isotropic configuration. In this technique, the temporal and radial potentials
are decoupled which split the field equations into two independent sets. Both
sets individually represent the isotropic and anisotropic configurations,
respectively. The solution corresponding to the first set is determined by
using the Krori-Barua metric potentials whereas the second set contains unknown
which are solved with the help of some constraints. The ultimate anisotropic
results are evaluated by combining the solutions of both distributions. The
influence of decoupling parameter is examined on the matter variables as well
as anisotropic factor. We illustrate the viable and stable features of the
constructed solutions by using energy constraints and three stability criteria,
respectively. Finally, we conclude that the obtained solutions are viable as
well as stable for the whole domain of the coupling parameter.
