  Supersymmetric models with t-b-tau Yukawa coupling unification and unified
gaugino masses at the GUT scale with mu >0 show a mild preference for light
gluino masses \lesssim 500 GeV. This range of gluino mass is now essentially
ruled out by LHC searches. We show that a heavier gluino mass ~ 0.5-3 TeV can
also be compatible with excellent t-b-tau Yukawa coupling unification in
supersymmetric models with non-universal Higgs masses (NUHM2). The gluino in
such models is the lightest colored sparticle, while the squark sector displays
an inverted mass hierarchy with m_{\tilde q} ~ 5-20 TeV. We present some LHC
testable benchmark points for which the lightest Higgs boson mass ~ 125 GeV. We
also discuss LHC signatures of Yukawa-unified models with heavier gluinos. We
expect gluino pair production followed by decay to final states containing four
b-jets plus four W-bosons plus missing E_T to occur at possibly observable
rates at LHC.
