  Horndeski theory is the most general scalar-tensor extension of General
Relativity with second order field equations. It may be interesting to study
the effects of the Generalized Uncertainty Principle on a static and
asymptotically flat shift symmetric solutions of the Horndeski black holes.
With this motivation, here we obtain the modified black hole temperatures in
shift symmetric Horndeski gravity by employing the Generalized Uncertainty
Principle. Using the corrected temperature, the entropy and heat capacity are
calculated with details. We also investigate the tunneling probability of
particles from Horndeski black holes horizon and possible correlations between
the emitted modes (particles).
