  A two scalar field model that incorporates non Riemannian Measures of
integration or usually called Two Measures Theory (TMT) is introduced, in order
to unify the early and present universe. In the Einstein frame a K-essence is
generated and as a consequence for the early universe, we can have a Non
Singular Emergent universe followed by Inflation and for the present universe
dark epochs with consistent generation of dark energy (DE), dark matter (DM)
and stiff matter. The scale invariance is introduced and then is spontaneously
broken from the integration of the degrees of freedom associated with the
modified measures. The resulting effective potentials and K-essence in the
Einstein frame produce three flat regions corresponding to the different epochs
mentioned before. For the first flat region we can associate an emergent and an
inflationary universe. Here for a parameter-space region this flat plateau
possesses a non singular stable emergent universe solution which characterizes
an initial epoch of evolution that precedes the inflationary scenario. Also
assuming this first plateau, we study the inflation in the framework of the
slow-roll approximation. The corresponding cosmological perturbations in our
model are determined and we also obtain the different constrains on the
parameter-space from the Planck data.In the following flat region DE and also
the DM, which does not need to be introduced separately, it is instead a result
of a K-essence induced by the multi measures, multi field theory. Also stiff
matter component is automatically generated from the K-essence theory from two
scalar fields. From the perturbative analysis associated to the perturbation
solution of background, we find a correlation between the two scalars. Besides,
we obtain that our model during the dark epoch has a behavior of tracking
freezing model.
