What do you constitute "federal aid"? Care to break that down a bit? How about the big three, Medicare, Social Security, and Defense spending. Red states have more of all three in general. Which one, or all, do you consider "federal aid"? 

So the federal government sticks a military base in your state. Now the massive spending to support it counts towards your state receiving "federal aid"? The decision to put it there was a strategic decision of the DoD. Localities may lobby for bases because they bring jobs, but in the end its up to the DoD.

Retirees pay into the SS system their entire lives. They often retire to a red state because of low taxes and sometimes sunshine. Now as they claim their benefits you count them as receiving "federal aid"?