  In this work we consider Horndesky gravity deformed by a parameter in its
kinetic terms embedded in asymptotically Lifshitz spacetimes. We obtain black
brane solutions in this geometry and study their thermodynamical properties. We
show that the $\kappa$-deformation on the Horndeski kinetic terms allow for
arbitrary values of the critical exponents characteristic of Lifshitz
spacetimes. These solutions present local and global thermodynamical
stabilites.
