  The Schwarzschild-de Sitter (SdS) solution exists in the large majority of
modified gravity theories, as expected, and in particular the effective
cosmological constant is determined by the specific parameters of the given
theory. We explore the possibility to use future extended radio-tracking data
from the currently ongoing New Horizons mission in the outskirts peripheries of
the Solar System, at about 40 au, in order to constrain this effective
cosmological constant, and thus to impose constrain on each scenario's
parameters. We investigate some of the recently most studied modified
gravities, namely $f(R)$ and $f(T)$ theories, dRGT massive gravity, and
Ho\v{r}ava-Lifshitz gravity, and we show that New Horizons mission may bring an
improvement of one-two orders of magnitude with respect to the present bounds
from planetary orbital dynamics.
