  Recently it was shown, within the mass insertion approximation (MIA), that
the gluino mediated flavor changing neutral current (FCNC) interactions can
saturate both epsilon_K and Re(epsilon'/epsilon_K) even for the real
Cabibbo-Kobayashi-Maskawa (CKM) matrix through a single CP violating parameter
(delta^d_12)_LL. In this work, we extend our previous analysis to the
nonvanishing KM phase, and to the effective SUSY model where the MIA is no
longer a good approximation. In our model, epsilon_K and B0 - B0 bar mixing can
receive significant SUSY contributions. Therefore the usual constraints on rho
and eta in the Wolfenstein parametrization of the CKM matrix can be relaxed
except for the |V_ub/V_cb| from the semileptonic b -> u transition. This
affects K -> pi nu nu bar and K_L -> mu+ mu- indirectly, even if they are not
directly induced by gluino-mediated FCNC, while K_L -> pi0 e+ e- is influenced
both directly and indirectly. Differences between our model and other SUSY
models enhancing Re(epsilon'/epsilon_K) are discussed in detail.
