According to what I have been able to ascertain Except for the fact that Exar Kun fought against the Republic (The writers of the game got it wrong, try 4,000 years earlier, not 1000) that he made his last stand on Yavin 4, and that he killed off a race called the Massassi doing it, there is not one thing I have been able to find.
Actually, there aren't a lot of Generals, even in wartime. If you can't to give Carth Onasi a rank, I'd probably say Lt Commander or Commander. Not General.
The writers of the present Star Wars gave the Jedi the rank of General for only one reason, to make them someone the Clontes were supposed to obey, nothing more.