  Generic models in Galileons or Horndeski theory do not have cosmological
solutions that are free of instabilities and singularities in the entire time
of evolution. We extend this No-Go theorem to a spacetime with torsion. On this
more general geometry the No-Go argument now holds provided the additional
hypothesis that the graviton is also subluminal throughout the entire
evolution. Thus, critically different for Galileons' stability on a torsionful
spacetime, an arguably unphysical although arbitrarily short (deep UV) phase
occurring at an arbitrary time, when the speed of gravity $(c_g)$ is slightly
higher than luminal $(c)$, and by at least an amount $c_g\geq \,\sqrt{2}\,c $,
can lead to an all-time linearly stable and nonsingular cosmology. As a proof
of principle we build a stable model for a cosmological bounce that is almost
always subluminal, where the short-lived superluminal phase occurs before the
bounce and that transits to General Relativity in the asymptotic past and
future.
