  In this paper, we study the physical characteristics of anisotropic
spherically symmetric quark star candidates for $R+2\sigma T$ gravity model,
where $R$, $\sigma$ and $T$ depict scalar curvature, coupling parameter, and
the trace of the energy-momentum tensor, respectively. In order to analyze the
structure formation of quark stars, we consider the Heintzmann solution and
assume that strange quark matter is characterized by MIT bag model equation of
state. We evaluate the unknown parameters through matching conditions and
obtain the values of radii of strange quark stars using modified
Tolman-Oppenheimer-Volkoff equation with observed values of masses and bag
constant. The feasibility of our considered solution is analyzed by graphical
analysis of matter variables, energy bounds, causality condition and adiabatic
index. It is found that the strange quark stars show stable structure
corresponding to Heintzmann solution and their physical viability enhances with
increasing values of the model parameter $\sigma$.
