We briefly review recent progress in Horndeski theory (generalized Galileons) on a spacetime with torsion and the implications for the stability of the cosmological background against the graviton and the scalar mode. We highlight a critical modification of a well known NO-GO theorem that holds for nonsingular cosmological solutions in the torsionless theory. We show that these results trivially extend to a broader family of Lagrangians containing the contraction of the torsionful higher derivative terms - typical of Horndeski - with the fully antisymmetric tensor.