  Considering the Generalized Minimal Supergravity Model (GmSUGRA) in the
Minimal Supersymmetric Standard Model (MSSM), we study the Electroweak
Supersymmetry (EWSUSY), where the squarks and/or gluino are heavy around a few
TeVs while the sleptons, sneutrinos, Bino, Winos, and/or Higgsinos are light
within one TeV. We resolves the $(g_{\mu}-2)/2$ discrepancy for the muon
anomalous magnetic moment in the Standard Model (SM) successfully and
identifies a parameter space where such solutions also have the electroweak
fine-tuning measures $\Delta_{EW}~16.5$ (6$\%$) and $\Delta_{EW}~25$ (4$\%$)
without and with the WMAP bounds, respectively. We find that the allowed mass
ranges consistent within 3$\sigma$ of the $g-2$ discrepancy for the lightest
neutralino, charginos, stau, stau neutrinos, and first two-family sleptons are
$[44,390]$ GeV, $[100,700]$ GeV, $[100,700]$, and $[52,700]$ GeV, respectively.
Moreover, our solutions satisfy the latest bounds reported by the ATLAS and CMS
Collaborations on electroweakinos and sleptons. The colored sparticles such as
light stop, gluinos, and the first two-generation squark masses have been found
in the mass ranges of $[500, 3000]$ GeV,[1300, 4300] GeV, and $[1800, 4200]$
GeV, respectively. To obtain the observed dark matter relic density for the
Lightest Supersymmetric Particle (LSP) neutralino, we have the bino-wino, LSP
neutralino-stau, and LSP neutralino-tau sneutrinos coannihilation scenarios,
and the resonance solutions such as $A$-pole, Higgs-pole, and $Z$-pole. We
identify the higgsino-like LSP neutralino and display its spin-independent and
spin-dependent cross sections with nucleons. We present ten benchmark points
which can be tested at the up coming collider searches as well.
