The present work deals with a modified gravity theory by extending f(T) gravity with a general coupling of the torsion scalar T and the trace of the matter energy-momentum tensor Σ. In the background of the flat FLRW space-time, the dark energy is considered as a perfect fluid having equation of state ω de for the present modified gravity theory. Usually, power law form in each argument has been chosen for the arbitrary function “f” in the modified gravity theory. Finally, the present model has been compared with recent observational data.
Sardar et al. (Fri,) studied this question.