  The recent confirmation by the Fermilab-based Muon g-2 experiment of the
$(g-2)_\mu$ anomaly has important implications for allowed particle spectra in
softly broken supersymmetry (SUSY) models with neutralino dark matter (DM).
Generally, the DM has to be quite light, with the mass up to a few hundred GeV,
and bino-dominated if it is to provide most of DM in the Universe. Otherwise, a
higgsino or wino dominated DM is also allowed but only as a strongly
subdominant component of at most a few percent of the total density. These
general patterns can easily be found in the phenomenological models of SUSY but
in GUT-constrained scenarios this proves much more challenging. In this paper
we revisit the issue in the framework of some unified SUSY models with
different GUT boundary conditions on the soft masses. We study the so-called
non-universal gaugino model (NUGM) in which the mass of the gluino is
disunified from those of the bino and the wino and an SO(10) and an SU(5)
GUT-inspired models as examples. We find that in these unified frameworks the
above two general patterns of DM can also be found, and thus the muon anomaly
can also be accommodated, unlike in the simplest frameworks of the CMSSM or the
NUHM. We show the resulting values of direct detection cross-section for points
that do and do not satisfy the muon anomaly. On the other hand, it will be
challenging to access those solutions at the LHC because the resulting spectra
are generally very compressed.
