  The ATLAS experiment has recently presented its search results for final
states containing jets and/or b-jet(s) and missing transverse momentum,
corresponding to an integrated luminosity of 165 pb^{-1}. We employ this data
to constrain a class of supersymmetric SU(4)_c X SU(2)_L X SU(2)_R models with
t-b-\tau Yukawa unification, in which the gluino is the next to lightest
supersymmetric particle (NLSP). The NLSP gluino is slightly (~10-30%) heavier
than the the LSP dark matter neutralino, and it primarily decays into the
latter and a quark-antiquark pair or gluon. We find that NLSP gluino masses
below ~300 GeV are excluded by the ATLAS data. For LSP neutralino mass ~200-300
GeV and \mu>0, where \mu is the coefficient of the MSSM Higgs bilinear term,
the LHC constraints in some cases on the spin-dependent (spin-independent)
neutralino-nucleon cross section are significantly more stringent than the
expected bounds from IceCube DeepCore (Xenon 1T/SuperCDMS). For \mu<0, this
also holds for the spin-dependent cross sections.
