  We consider a class of $b-\tau$ Yukawa unified Supersymmetric (SUSY) $SU(5)$
GUTs, in which the asymptotic gaugino $M_{1,2,3}$ masses are generated through
a combination of gravity and mirage mediated supersymmetry breaking. Due to the
contributions from mirage mediation, $M_{3}$ is always lighter than M_{1} and
M_{2}, and consequently for the range of asymptotic masses considered, the
gluino mass at low scale is bounded from above at about 4 TeV. We realize two
different regions, one in which the MSSM $\mu-$term is less than about 3 TeV.
This region yields a stop mass up to 5 TeV, and the stop mass is nearly
degenerate with the LSP neutralino for mass around 0.8 to 1.7 TeV. A stau mass
can be realized up to about 5 TeV, and the stau mass is approximately
degenerate with the LSP neutralino for mass around 2 to 3 TeV. In addition, an
A-funnel solution $m_{A}$ with mass $\sim 1.4-1.8$ TeV is realized. A second
region, on the other hand, arises for gluino around 1.1 TeV. The $\mu-$term is
rather large than 20 TeV, and the LSP neutralino is a bino-wino mixture. The
gluino mass ($\sim 0.8-1.2$ TeV) is nearly degenerate with the LSP neutralino
mass and hence, the gluino-neutralino coannihilation processes play a role in
reducing the relic abundance of LSP neutralino down to ranges allowed by the
current WMAP measurements. The two regions above can be distinguished through
the direct detection experiments. The first region with relatively low $\mu$
values yields Higgsino-like DM, whose scattering on the nucleus typically has a
large cross-section. We find that such solutions are still allowed by the
current results from the LUX experiment, and they will be severely tested by
the LUX-Zeplin experiment. The second region contains bino-wino DM whose
scattering cross-section is relatively low. These solutions are harder to rule
out in the foreseeable future.
