If you weren't convicted, then it shouldn't show up on a background check. That all depends on how they do their background checks, though. Where I live, they put all the court records online for anyone to see so in theory someone could find a charge that was dismissed or nollo prosequi if they do in-house background checks this way. If you haven't been back to court and the judge hasn't dismissed the charges contingent on your finishing the diversion program, then there's a chance that it might come up on a background check as a pending charge, but again that depends on what kind of background checks they do.