  This paper focuses on the analysis of static spherically symmetric
anisotropic solutions in the presence of electromagnetic field through the
gravitational decoupling approach in
$f(\mathcal{R},\mathcal{T},\mathcal{R}_{\gamma\upsilon}\mathcal{T}^{\gamma\upsilon})$
gravity. We use geometric deformation only on radial metric function and obtain
two sets of the field equations. The first set deals with isotropic fluid while
the second set yields the influence of anisotropic source. We consider the
modified Krori-Barua charged isotropic solution for spherical self-gravitating
star to deal with the isotropic system. The second set of the field equations
is solved by taking two different constraints. We then investigate physical
acceptability of the obtained solutions through graphical analysis of the
effective physical variables and energy conditions. We also analyze the effects
of charge on different parameters, (i.e., mass, compactness and redshift) for
the resulting solutions. It is found that our both solutions are viable as well
as stable for specific values of the decoupling parameter $\varphi$ and charge.
We conclude that a self-gravitating star shows more stable behavior in this
gravity.
