  We consider the cosmological application of a (variant of) relatively newly
proposed model \cite{1609.06915} unifying inflation, dark energy, dark matter,
and the Higgs mechanism. The model was originally defined using additional
non-Riemannian measures but it can be reformulated into effective
quintessential model unifying inflation, dark energy and dark matter. Here we
demonstrate numerically that it is capable of describing the entire Universe
evolution in a seamless way, but this requires some revision of the model
setup. The main reason is that there is a strong effective friction in the
model, a feature which has been neglected in the pioneer work. This improves
the model potential for proper description of the Universe evolution, because
the friction ensures a finite time inflation with dynamically maintained
low-value slow-roll parameters in the realistic scenarios. In addition, the
model predicts the existence of a constant scalar field in late Universe.
