  In this paper, we study the post-inflationary era called reheating stage. For
this purpose, we consider a model in which the inflaton is non-minimally
coupled to the curvature within the hybrid metric-Palatini approach.
Furthermore, to investigate the consistency of our results with the
observational data, we relate reheating parameters to those of inflation model.
By taking into consideration the Higgs potential $V(\phi)=\lambda/4 \phi^4$; we
derive the necessary quantities needed to obtain the reheating duration and the
reheating temperature. Moreover, we plot reheating e-folds and temperature as a
function of the spectral index, respectively. We consider three cases depending
on the coupling constant $\xi$. In addition, we use some specific values of the
effective equation of state $\omega$, which is presumed to remain relatively
constant within the range of $-\frac{1}{3} \leq \omega < \frac{1}{3}$. We find
that for $\xi=10^{-4.1}$ our results are in agreement with the recent Planck
data as the reheating instant is corresponding to the central value of the
spectral index and to a maximum temperature required by the scale of
baryogenesis models.
