  The multi-measure model (MMM), in which one modifies the action to include
both the Riemannian measure and a non-Riemannian one, has proven to be able to
produce viable Universe evolution scenarios. In this article we consider two
special cases of the multi-measure model, in which we first decouple the two
kinetic terms in the Lagrangian entirely and later remove the dark charge of
the model. We show numerically that those special cases still possess the
needed evolutionary stages of the Universe and furthermore, for them one can
obtain a sufficient number of e-folds of the early inflation. In the first
case, the inflaton still moves backwards on the effective potential during
inflation, while in the second, it does not, meaning that this behavior comes
from the dark charge. We connect the model with hyperinflationary models and
investigate how the different epochs are born from the interplay between the
two scalar fields. We demonstrate that there is a dynamically induced slow-roll
epoch, which is prolonged by the complicated movement of the two scalars in the
field space. Finally, we show that while the adiabatic speed of sound can
become imaginary, the phase speed of sound remains real.
