The B1G Does it all the time. Auburn doesn't (really) do it. It's something that is uniquely college football and can unite fan bases. So here are some Rivalry Trophy Ideas.
Rivalry Trophies are fun. There's something super awesome about players holding up some unique and odd piece of brass, wood, or bits of broken chairs after a win. Auburn doesn't really have any rivalry trophies. Sure, they play Alabama for the ODK-Foy Sportsmanship Trophy. However, that's only given out at a basketball game and even then it just serves a reason to get people to those games and to have one another's fan bases complain when the losing SGA President doesn't sing.