  In this paper we explore $f(T, \mathcal{T})$, where $T$ and $\mathcal{T}$
denote the torsion scalar and the trace of the energy-momentum tensor
respectively. We impose the covariant conservation to the energy-momentum
tensor and obtain a cosmological $f(T, \mathcal{T})$ respectively. We impose
the covariant conservation to the energy-momentum tensor and obtain a
cosmological $f(T, \mathcal{T})$ model. Then, we study the stability of the
obtained model for power-law and de Sitter solutions and our result show that
the model can be stable for some values of the input parameters, for both
power-law and de Sitter solutions.
