  Applying the anholonomic frame deformation method, we construct various
classes of cosmological solutions for effective Einstein -- Yang-Mills --
Higgs, and two measure theories. The types of models considered are
Freedman-Lema\^{i}tre-Robertson-Walker, Bianchi, Kasner and models with
attractor configurations. The various regimes pertaining to plateau--type
inflation, quadratic inflation, Starobinsky type and Higgs type inflation are
presented.
