  The effect of non-universal SUSY soft breaking on predictions of dark matter
detector event rates are surveyed for supergravity models with gravity mediated
soft breaking. For universal soft breaking in the first two generations and
tan(beta)<=20, non-universal effects can be characterized by four parameters
(two for Higgs and two for third generation squarks) in addition to those of
the minimal model (MSGM). These can increase or decrease event rates by a
factor of 10-100 in the domain m_{\chi_1^0}<60 GeV (\chi_1^0= lightest
neutralino) but produce generally small effects at higher masses. The value of
the top mass and b->s+\gamma branching ratio eliminates most of the parameter
space for \mu<0, causing event rates for \mu<0 to be a factor approximately 100
smaller than for mu>0. A correlation between large (small) event rates and
small (large) b-> s+\gamma branching ratio is observed. The effect of future
satellite (MAP and PLANCK) precision determinations of cosmological parameters
on predicted event rates is examined for examples of the \Lambda CDM and \nu
CDM models. It is seen that these could sharpen the event rate predictions and
also restrict the allowed gaugino mass ranges, thus influencing predictions for
accelerator SUSY searches.
