From what i can see, both seem to be evenly matched in terms of speed (probably), and durabilty. Geo Megaman is higher in striking strength (XPJ > XTJ, i guess), so that may make Geo Mega like stronger than EQUINOX, but not by a lot and to the point that he's 4-A.
I do have a question here, Promestein. This is Geo in base form, correct? If so, EQUINOX could get the win here or Geo could get the win.
From wht i've seen, Geo in base can: teleport, manipulate energy, is intangible against non EM-based attacks, can create voids in spaces to close distances, has an auto lock system, immune to hypnosis and can have additional powerup abilities via battle chips and ability slots.
Compared to E whose the same except a bit less than that on the power setup and has only Electromagnetic manipulation, weather manipulation, extrasensory perception by magic, flight, and protective magical barriers.
Hmm yeah, this comes down in terms of whose abilities can outlast one another long enough to get the victory here.....