You completely misread the article.
https://usafacts.org/articles/what-do-universities-do-with-the-billions-they-receive-from-the-government/
Revenue from all sources was $1.068 trillion in 2018.
Of that, $149 billion, or 14% came from the federal government. Of the $149 billion, 65% (~$97 billion) went to student aid (scholarships, work-study, loans). Another 27% of the $149 billion total ($41 billion) went to fund research. The last 8% of the $149 billion ($11 billion) was for government contracts.
The number I posted earlier, $203 billion in 2020, was federal and state government funding, combined.
So your trillion dollars is off by a factor of 5.