  We construct the holographic superconductors away from the probe limit in the
consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity. We observe that, both
for the ground state and excited states, the critical temperature first
decreases then increases as the curvature correction tends towards the
Chern-Simons limit in a backreaction dependent fashion. However, the decrease
of the backreaction, the increase of the scalar mass, or the increase of the
number of nodes will weaken this subtle effect of the curvature correction.
Moreover, for the curvature correction approaching the Chern-Simons limit, we
find that the gap frequency $\omega_g/T_c$ of the conductivity decreases first
and then increases when the backreaction increases in a scalar mass dependent
fashion, which is different from the finding in the ($3+1$)-dimensional
superconductors that increasing backreaction increases $\omega_g/T_c$ in the
full parameter space. The combination of the Gauss-Bonnet gravity and
backreaction provides richer physics in the scalar condensates and conductivity
in the ($2+1$)-dimensional superconductors.
