In the present work, we investigate the existence of compact star model in the background of
f
ℛ
,
T
gravity theory, where
ℛ
represents the Ricci scalar and
T
refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model following the embedding class-I strategy can be obtained. For this purpose, we assume anisotropic matter contents along with static and spherically symmetric geometry of compact star. As Karmarkar embedding condition yields a relationship of metric potentials, therefore we assume a suitable form for one of the metric components as
e
ϕ
=
a
r
2
+
b
n
−
1
r
n
+
1
, where
a
and
b
represent constants and
n
is a free parameter, and evaluate the other. We approximate the values of physical parameters like
a
,
A
, and
B
by utilizing the known values of mass and radius for the compact star Vela X-1. The validity of the acquired model is then explored for different values of coupling parameter
λ
graphically. It is found that the resulting solution is physically interesting and well-behaved.