  We present a through discussion of motivations for and phenomenological
issues in supersymmetric models with minimal matter content and non-holomorphic
soft-breaking terms. Using the unification of the gauge couplings and assuming
SUSY is broken with non-standard soft terms, we provide semi-analytic solutions
of the RGEs for low and high choices of tan\beta which can be used to study the
phenomenology in detail. We also present a generic form of RGIs in mSUGRA
framework which can be used to derive new relations in addition to those
existing in the literature. Our results are mostly presented with respect to
the conventional minimal supersymmetric model for ease of comparison.
