Put the carrots and potatoes in a large saucepan. Top up with vegetable stock until everything is covered. Depending on your taste, add 2-3 bay leaves, 1 heaped tablespoon of herbs from Provence (if available, also a bunch of fresh mixed herbs) and the olive oil. Bring the whole thing to a boil and simmer on a low flame until the potatoes and carrots are pleasantly cooked and still a little firm to the bite (do not overcook).
In the meantime, fry the already seasoned minced meat with the onion in hot olive oil and season with 1 tablespoon of herbs.
Season the soup with salt and pepper and serve on plates. Pour the minced meat over the soup and sprinkle with crumbled feta cheese.
Variation: For the vegetarian version, simply leave out the minced meat, it also tastes very good without it. But then maybe add a chopped onion to the stew.