Bring a pot of water to a boil and cook the egg noodles according to package instructions until al dente, then drain and set aside.
Heat the olive oil in a large skillet over medium-high heat.
Add the ground beef to the skillet, breaking it into small crumbles and browning until fully cooked.
Remove the beef from the skillet and set it aside, leaving the remaining juices in the pan.
Add the sliced mushrooms and diced onions to the skillet, sautéing until the mushrooms are golden and the onions are translucent.
Stir in the minced garlic, sea salt, black pepper, and smoked paprika, cooking for about 1 minute until fragrant.
Pour in the beef broth to deglaze the pan, using a wooden spoon to scrape up any browned bits from the bottom.
Reduce the heat to low, return the beef to the skillet, and stir in the Greek yogurt until a creamy, uniform sauce forms.
Add the cooked egg noodles to the skillet and toss gently to coat them in the mushroom and beef sauce.
Garnish with chopped fresh parsley and serve immediately.