  In this paper, we consider static spherical structure to develop some
anisotropic solutions by employing the extended gravitational decoupling scheme
in the background of
$f(\mathcal{R},\mathcal{T},\mathcal{R}_{\gamma\chi}\mathcal{T}^{\gamma\chi})$
gravity, where $\mathcal{R}$ and $\mathcal{T}$ indicate the Ricci scalar and
trace of the energy-momentum tensor, respectively. We transform both radial as
well as temporal metric functions and apply them on the field equations that
produce two different sets corresponding to the decoupling parameter $\xi$. The
first set is associated with isotropic distribution, i.e., modified Krori-Barua
solution. The second set is influenced from anisotropic factor and contains
unknowns which are determined by taking some constraints. The impact of
decoupling parameter is then analyzed on the obtained physical variables and
anisotropy. We also investigate energy conditions and some other parameters
such as mass, compactness and redshift graphically. It is found that our
solution corresponding to pressure-like constraint shows stable behavior
throughout in this gravity for the considered range of $\xi$.
