  The curvaton reheating mechanism in a Scale Invariant Two Measures Theory
defined in terms of two independent non-Riemannian volume forms (alternative
generally covariant integration measure densities) on the space-time manifold
which are metric independent is studied. The model involves two scalar matter
fields, a dilaton, that transforms under scale transformations and it will be
used also as the inflaton of the model and another scalar, which does not
transform under scale transformations and which will play the role of a
curvaton field. Potentials of appropriate form so that the pertinent action is
invariant under global Weyl-scale symmetry are introduced. Scale invariance is
spontaneously broken upon integration of the equations of motion. After
performing transition to the physical Einstein frame we obtain: (i) For given
value of the curvaton field an effective potential for the scalar field with
two flat regions for the dilaton which allows for a unified description of both
early universe inflation as well as of present dark energy epoch;(iii) In the
phase corresponding to the early universe, the curvaton has a constant mass and
can oscillate decoupled from the dilaton and that can be responsible for both
reheating and perturbations in the theory. In this framework, we obtain some
interesting constraints on different parameters that appear in our model;
  (iii) For a definite parameter range the model possesses a non-singular
"emergent universe" solution which describes an initial phase of evolution that
precedes the inflationary phase. Finally we discuss generalizations of the
model, through the effect of higher curvature terms, where inflaton and
curvaton can have coupled oscillations.
