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In this work, we apply tunneling formalism to analyze charged particlestunneling across a hairy black hole horizon. Such black hole solutions areessential for frameworks based on Horndeski's gravity theory. Applying asemi-classical technique, we examine the tunneling of charged particles from ahairy black hole and derive the generic tunneling spectrum of releasedparticles, ignoring self-gravitational and interaction. It is studied to ignorethe back-reaction impact of the radiated particle on the hairy black hole. Weanalyze the properties of the black hole, such as temperature and entropy,under the influence of quantum gravity and also observe that the first-ordercorrection is present. We study tunneling radiation produced by a charged fieldequation in the presence of a generalized uncertainty effect. We modify thesemi-classical technique by using the generalized uncertainty principle, theWKB approximation, and surface gravity.

First-order correction of tunneling and entropy in the Horndeski gravity-like hairy black hole