  In this paper, we have considered $F(R,T)$ gravity as a linear function of
the curvature and torsion scalars and interacted it with logarithmic entropy
corrected holographic dark energy to evaluate cosmology solutions. The model
has been investigated by FRW metric, and then the energy density and the
pressure of dark energy have calculated. Also we obtained equation of state
(EoS) parameter of dark energy and has plotted it with respect to both variable
of cosmic time and $e$-folding number. Finally, we have described the scenario
in three status: early, late and future time by $e$-folding number.
