  We explore the reach of luminosity upgrades of the Fermilab Tevatron collider
for SU(5) supergravity models in which non-universal GUT-scale gaugino masses
arise via a vacuum expectation value for the auxiliary component of a
superfield that transforms as a 24, 75 or 200 dimensional representation of
SU(5). This results in a different pattern of sparticle masses and mixing
angles from what is expected in the minimal supergravity model (mSUGRA) with
universal GUT scale gaugino masses. We find that the resulting signal cross
sections, and hence the reach of the Tevatron, are sensitive to the gaugino
masses at the GUT scale. In the 24 model, the large splitting amongst the two
lightest neutralinos leads to SUSY events containing many isolated leptons,
including events with a real leptonic Z boson plus jets plus missing energy
signal which is visible over much of parameter space. In contrast, in the 75
and 200 models, the reach via leptonic SUSY signals is greatly reduced relative
to mSUGRA, and the signal is usually visible only via the canonical $\eslt
+$jets channel.
