  In this paper, we search for accelerating power-law and ekpyrotic solutions
in heterotic string theory with NS-NS fluxes compactified on half-flat and
generalized half-flat manifolds. We restrict our searches to the STZ sector of
the theory. We also considered linear order $\alpha'$ corrections for the
half-flat case. The power-law solutions that we find are neither accelerating
nor ekpyrotic in any of the models.
