  We examined the quantum properties of scalar-tensor gravity with a coupling
to the Gauss-Bonnet term in the low energy limit, exploring both linear and
quadratic couplings. We calculated the leading-order corrections to the
non-relativistic one-body gravitational potential and the metric by studying
the gravitational field of a point-like scalar particle. We studied light-like
scattering and compared it with the classical theory. We found that the
non-minimal coupling does not contribute to the small-angle scattering for the
quadratic coupling but does in the case of linear coupling. The results provide
an opportunity to constrain the linear non-minimal coupling to the Gauss-Bonnet
term with forthcoming observational data.
