No, they don't recieve more per person then Red States.
You're taking what states receive from federal funding and dividing that by population numbers and ignoring what that funding is for. It isn't money that's doled out to individual citizens, it's just averaged out per capita. Blue Cities & States have more defense contracts, scientific and medical research, hospitals, VA care... They have more people, they have more economy, and they have more activity courtesy of and benefiting government that goes with it.
But you already knew this from when you got those figures.
They also 'donate' more per capita than they receive back from the government. With Red States, it's the converse.
Basic math. Red States simply have smaller, less diversified. economies. This goes back to the Colonial Era. That was the point of Electoral College and two senators per state - poorer (agricultural) states would have smaller populations and thus less votes, so the EC & 2 senators per were meant to counter their weaker influence.