  The thermodynamical study of the universe allow particle production in
modified $f(T)$ ($T$ is the torsion scalar) theory of gravity within a flat
FLRW framework for line element. The torsion scalar $T$ plays the same role as
the Ricci scalar $R$ in the modified theories of gravity. We derived the $f(T)$
gravity models by taking $f(T)$ as the sum of $T$ and an arbitrary function of
$T$ with three different arbitrary function. We observe that the particle
production describes the accelerated expansion of the universe without a
cosmological constant or any unknown "quintessence" component. Also, we
discussed the supplementary pressure, particle number density and particle
production rate for three cases.
