“Partnership” doesn’t mean 50-50. Most partnerships are not 50-50.
I don’t know whether NASA provides any funding for UCF. They do provide internships, both directly and through private companies with operations at KSC.
As far as I know, UCF is 100% funded by tuition, fees, the State of Florida, and donations of course. Last year, Jeff Bezos’ ex-wife made a big donation to UCF.
One other thing on UF. I don’t know the UF Engineering “ranking,” but they have been one of the top engineering schools in the US for as long as I can remember – and I went to UF MANY years ago.