  In this manuscript, we investigate the behavior of stellar structure through
embedding approach in $f(R, \phi, X)$ modified theory of gravity, where $R$
denotes the Ricci scalar, $\phi$ represents the scalar potential and $X$
indicates the kinetic potential. For this purpose, we consider the spherically
symmetric space-time with anisotropic fluid. We further choose three different
stars i.e. LMC X-4, Cen X-3, and EXO 1785-248 to demonstrate the behavior of
stellar structures. We further compare the Schwarzschild space-time as exterior
geometry with spherically symmetric space-time to calculate the values of
unknown parameters. In this regard, we investigate the graphical features of
stellar spheres such es energy density, pressure components, anisotropic
component, equation of state parameters, stability analysis and energy
conditions. Furthermore, we investigate some extra conditions such as mass
function, compactness factor and surface redshift respectively. Conclusively,
all the compact stars under observations are realistic, stable, and are free
from any physical or geometrical singularities. We find that the embedding
class one solution for anisotropic compact stars is viable and stable.
