A lot of folks have answered 'W's.'
While I agree that helps, I think the real answer is kissing their asses. 'Wow, Mr Haslem, that is an incredible idea. It's amaaaaaazing how much you know about football. By the way, how is that stadium reno check coming????'
I assume most of the boosters are very good at what they do (or got lucky and were born into it.) After a while, all the money and ass-kissing they receive at the office, country club.....etc incorrectly leads them to believe they must be good at everything including deciding who the next coach should be. UT's record over the last decade strongly suggests they should stick with their day job.
Oh, in addition to smooching butts, access is the other key requirement. These guys must be constantly made to feel 'special' and be able to see just what their donations are getting them. They may claim to 'bleed orange' but I'm pretty sure 'green' is what they actually run on. It is a transaction not a donation.