Prepare greens by rinsing leaves and removing ribs from collard greens and chard. Set aside.
Shred cheese. Set aside
In a medium-sized bowl, whisk together eggs, milk, and olive oil.
Heat a large skillet on medium heat. Once hot, add egg mixture, cover, and cook for about 3 minutes. Remove lid and place greens down the middle of the eggs and sprinkle with the cheese. Replace the lid for another 30 sec. – 1 minute. Remove from heat.
Immediately use a spatula to fold one end over the middle, then continue folding the same direction to create a trifold with sealed end down. Let sit for a minute to seal, then serve.