This paper constructs three different anisotropic extensions of the
existing isotropic solution to the modified field equations through
the gravitational decoupling in $f(\mathbb{R},\mathbb{T})$ theory.
For this, we take a static sphere that is initially filled with the
isotropic fluid and then add a new gravitational source producing
anisotropy in the system. The field equations now correspond to the
total matter configuration. We transform the radial metric component
to split these equations into two sets characterizing their parent
sources. The unknowns comprising in the first set are determined by
considering the Buchdahl isotropic solution. On the other hand, we
employ different constraints related to the additional gravitational
source and make the second system solvable. Further, the constant
triplet in Buchdahl solution is calculated by means of matching
criteria between the interior and exterior geometries at the
spherical boundary. The mass and radius of a compact star LMC X-4
are used to analyze the physical relevancy of the developed models.
We conclude that our resulting models II and III are in
well-agreement with acceptability conditions for the considered
values of the parameters.