It's true that the Federal government actually pays very little money to State governments. But the Federal government pays enormous piles of money to individuals in the form of wages, benefits, Social Security payments, Medicare, etc. When you see a comparison of Federal taxes paid vs. Federal expenditures in any given State (like the list I show in Post #97), the "Federal expenditures" for a State include all of the payments made to individuals who live in that State.
Excellent point the expenditures my esteemed Senator calls on autopilot. They happen whether there are tax cuts, government shutdown, or attempts to contain Federal spending.