Mix the flour, chili powder, cumin powder, garlic powder, oregano, cinnamon and salt (as per taste) in a small bowl and keep it accessible along with tomato paste and vegetable broth.
In a 12 inch skillet warm the olive oil on a medium heat; warm not hot. Sprinkle the spice and flour mix, stir constantly for about a minute.
Whisk in the tomato paste and then slowly pour the vegetable broth while whisking constantly to avoid any lumps.
Bring the mixture to simmer and cook for another 5 minutes. Stir/whisk intermittently.
Reduce the heat to lowest setting, stir in the vinegar, black beans and cilantro and let it cook for a minute before adding the chips. Adjust the salt if needed.
For Chilaquiles
Keep everything ready before you add chips. If you planning to have eggs on side, this is the time to start on them. Chilaquiles are best when had immediately.
Add the chips to the skillet with the sauce (still on the low heat). Using a rubber spatula (or a flexible spatula, no wooden) toss the chips into the sauce until each chip is evenly coated with the sauce.
Once coated removed the skillet from the heat, sprinkle crumble feta and cilantro leaves.
Serve immediately with your choice of accompaniment.