  Adopting the manifest of low-frequency and low mass for the scalar
perturbation, we perform a semi-classical analysis of the superradiance
phenomenon for a rotating hairy Horndeski black hole (BH). For the spacetime
under study enriched by the hairy Horndeski parameter $h$, in addition to the
mass $M$ and spin $a$, we compute the amplification factor of scalar wave
scattering indicating the energy extraction from the BH. We find that due to
the addition of the hairy parameter $h$ in the geometry, the superradiance
scattering and its frequency range enhance compared to the Kerr BH. This
implies that Horndeski's gravity belongs to those alternative theories of
gravity that make the amplification factor larger than the Kerr BH so that the
energy extraction in its framework is more efficient than general relativity.
Calculating the outgoing energy flux measured by an observer at infinity
verifies the role of the hairy parameter $h$ in the increase of energy
extraction efficiency from the rotating BH. By implementing the BH bomb
mechanism, we present an analysis of the superradiant instability of the
underlying BH spacetime against massive scalar fields. Our analysis indicates
that the hairy Horndeski parameter leaves no imprint on the standard
superradiant instability regime.
