Creating Melt-in-Your-Mouth Beef Short Ribs is a simple process if you follow these steps:

1. Preheat Oven: Preheat your oven to 300°F (150°C).
2. Sear the Ribs: Heat olive oil in a large oven-safe pot over medium-high heat. Season the beef short ribs with salt and pepper. Sear the ribs for about 3-4 minutes on each side until browned.
3. Remove Ribs: Once browned, remove the ribs from the pot and set them aside.
4. Sauté Aromatics: In the same pot, add the chopped onion and sauté for about 5 minutes until translucent. Add the minced garlic and cook for an additional minute.
5. Deglaze the Pot: Pour in the red wine and scrape the bottom of the pot to release any browned bits. Let it simmer for about 5 minutes.
6. Add Remaining Ingredients: Stir in the beef broth, tomato paste, brown sugar, Worcestershire sauce, thyme, and smoked paprika. Mix well.
7. Return Ribs: Place the seared short ribs back into the pot, ensuring they are submerged in the sauce.
8. Cover and Cook: Cover the pot with a lid and transfer it to the preheated oven. Cook for 3 to 4 hours, or until the meat is fork-tender.
9. Check for Doneness: After the cooking time, check if the ribs are tender. If they are not yet fork-tender, return them to the oven for an additional 30 minutes.
10. Serve: Once done, remove the pot from the oven. Let the ribs rest for a few minutes before serving. Garnish with fresh parsley.

These steps will lead you to a delicious plate of Melt-in-Your-Mouth Beef Short Ribs that are sure to impress everyone at your table.