Signatures of Non-Universal Soft Breaking Sfermion Masses at Hadron Colliders

We identify several mass patterns, within the framework of N=1 SUGRA with nonuniversal soft breaking masses for the sfermions, which may significantly alter SUSY signals and the current squark-gluino mass limits from the Tevatron. These effects are illustrated in a SO(10) SUSY GUT with an intermediate mass scale, but the conclusions are also valid in SUSY SO(10) models with grand deserts.