  Late time cosmological solutions for scalar field model with kinetic and
Gauss Bonnet couplings are considered. The quintom scenario is realized with
and without Big Rip singularity. We find that under specific choice of the
Gauss Bonnet coupling, the model considerable simplifies, giving rise to
solutions where the kinetic term is proportional to the square of the Hubble
parameter. This allows to reconstruct the model for a suitable cosmological
evolution. We considered a solution that matches the observed behavior of the
equation of state, while Big Rip singularity may be present or absent,
depending on the parameters of the solution. Evolutionary scenarios known as
Little Rip, have also been considered.
