FLRW model coupled with mass less scalar field in f(T) gravity-Two fluid scenario

In this work, we investigate a cosmological model within the framework of modified teleparallel gravity, known as f(T) gravity, by considering a spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) Universe filled with two fluids-barotropic matter and a dark fluid-alongside a massless scalar field. We study an interacting case of the fluids, deriving exact solutions of the field equations under a time-dependent deceleration parameter scenario. The model demonstrates a viable cosmological sequence: early decelerating expansion followed by late-time acceleration. The torsion scalar T, its function f(T), and the scalar field all evolve dynamically, transitioning from dominant roles in the early Universe to diminished effects at late times. The dark fluid energy density remains nearly constant, supporting accelerated expansion, while the matter density decreases with cosmic time. The effective equation of state (EoS) parameter evolves from a matter-like behavior to negative values, suggesting a natural transition from matter domination to a dark energy-dominated phase. These results affirm that f(T) gravity coupled with a scalar field can explain cosmic acceleration and provide an alternative to the standard ΛCDM model without invoking exotic energy components.