  We reconstruct $f(R,T)$ theory (where $R$ is the scalar curvature and $T$ is
the trace of energy-momentum tensor) in the framework of QCD ghost dark energy
models. In this study, we concentrate on particular models of $f(R,T)$ gravity
which permits the standard continuity equation in this theory. It is found that
reconstructed function can represent phantom and quintessence regimes of the
universe in the background of flat FRW universe. In addition, we explore the
stability of ghost $f(R,T)$ models.
