Graham is a real good RB coach. But he alone cannot resurrect a run game. Before you say that he took USC from last in the league to 2nd in rushing between 2009-2011, slow down.
Graham had been at USC for 4 years prior to Lattimore arriving. USC was last or next to last in each of those years leaguewise in rushing. He was not the blame, it was considered in SC that the OL lacked SEC talent and SEC coaching. Finally, 3 years ago, SOS fired his longtime underachieving OL coach (John Hunt) and hired a new guy who made improvements the first season but left to be the HC at Youngstown State. That was when they hired their current OL Coach from Appalachian State. Ever since he has been there, they have gone to a zone read run offense and retooled everything about their OL training and recruiting. The last 2 years under this guy, as well as having lattimore are the keys to the much improved USC running game. Graham was a good position coach for the RB's, but the running game coordinator the past 2 years has been the OL coach from Appalachian State.
Now, if you expect graham to come to UT and be the running game guru/coordinator as well as whip the OL into shape and train them to run block, then the best you can hope for is he helps the RB's develop into better RB's. He cannot and will not be able to give a team with no running game an instant running game. Does not work like that. That is why USC was in the bottom of the league his first 4 years in rushing. They lacked the proper schemes, lineman, training, play calling, talent etc etc etc etc. Kinda where UT is right now with their run game.