Theres nothing at or below Bachelor's degree level that requires grant funding. The grants you are speaking of are for research and higher-level acedemic projects. Basic 1000 - 4000 level classes are paid for from tuition, the lottery, and other sources.
The link below is from the BOR website. You'll see that while there is a "sponsored" column, the amount of money is a drop in the bucket compared to the total expenditure on instruction.
https://app.usg.edu/portal/page/port...FDM/FY05EP.pdf
It is true that the professors have to submit proposals and get approval for the subjects they want to teach, but they submit their the directors of their department, to the deans of their schools, and finally to the Board of Regents. The 18 voting members of the Board of Regents serve 7 year terms and are all appointed by the Governor and approved by the state Senate.
Our Governor, and our state Senate are firmly in GOP control. Also, many of the college presidents are Republicans and appoint their fellow Republicans to committees and boards. I'm not insinuating that there's a right-wing conspiracy in the way curriculae are approved, quite the opposite. If there
were some sort of political conspiracy involved I highly doubt the GOP would allow classes like "Transgender theory" or whatever.