  In this work, we explore cosmological sudden singularities arising in the
dynamically equivalent scalar-tensor representation of generalized hybrid
metric-Palatini gravity. Using a FLRW background, we show that the structure of
the field equations prevents sudden singularities from arising at time
derivatives of the scale factor of orders lower than four, but that they are
allowed to appear for time derivatives of higher orders. Imposing an ansatz for
the scale factor, we provide an explicit solution where these sudden
singularities appear in the fourth-order time derivative of the scale factor. A
comparison of the Hubble and deceleration parameters arising from this model
with the experimental measurements from the Planck Satellite allow us to impose
constraints on the time span for which the occurrence of sudden singularities
becomes likely in our universe, as measured from the Big Bang.
