Bring a pot of water to a boil and cook the egg noodles according to package directions 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 pieces with a spatula, and cook until fully browned.
Stir in the diced yellow onion and sliced cremini mushrooms, sautéing for 5 minutes until the vegetables are soft and the mushrooms are browned.
Add the minced garlic, sea salt, black pepper, and smoked paprika, stirring for 1 minute until the spices are fragrant.
Pour in the beef broth and Dijon mustard, using a wooden spoon to scrape up any flavorful browned bits from the bottom of the pan.
Simmer the mixture for 3 minutes, then reduce the heat to low.
Stir in the Greek yogurt until the sauce is creamy and well combined, taking care not to let the sauce boil.
Add the cooked egg noodles to the skillet and toss gently until every noodle is coated in the sauce.
Garnish with freshly chopped parsley and serve immediately.