Never lived there myself, but I know for a fact they're consistently in the top 5 of contributors to the federal kitty of all states both nominally, and per-capita. They get almost nothing back compared to what they put in. They are, arguably, the largest contributor to the nation if we're considering individual burdens. And a top 5 contributor by outright total aggregate tax contribution.
Illinois and New Jersey, by total outright tax contribution, are also consistently in the top 5 of states that contribute to the federal government. (And I'm from Wisconsin. I hate Illinois. But facts are facts man.)
Hate to tell you, but your source is bogus as far as analyzing the biggest contributors to the national kitty.