  We compare supernovae and Baryon Acoustic Oscillations data to the
predictions of a cosmological model of interacting dark matter and dark energy.
This theoretical model can be derived from the effective field theory of
Einstein-Cartan gravity with two scaling exponents $\delta_G$ and
$\delta_{\Lambda}$, related to the interaction between dark matter and dark
energy. We perform a $\chi^2$ fit to the data to compare and contrast it with
the standard $\Lambda$CDM model. We then explore the range of parameter of the
model which gives a better $\chi^2$ than the standard cosmological model. All
those results lead to tight constraints on the scaling exponents of the model.
Our conclusion is that this class of models, provides a decent alternative to
the $\Lambda$CDM model.
