  In this work, we study the late-time cosmological solutions of
f(R,T)=g(R)+h(-T) models assuming that the conservation of the energy-momentum
tensor (EMT) is violated. We perform our analysis through constructing an
autonomous dynamical system for the equations of motion. We study the stability
properties of solutions via considering linear perturbations about the related
equilibrium points. These parameters which are constructed out of the functions
g(R) and h(-T) play the main role in finding the late time behavior of the
solutions.
