Creating Irresistible Braised Short Ribs with Red Wine & Garlic Mash can be a joyful experience if you follow these simple steps:

1. Preheat Oven: Preheat your oven to 325°F (160°C).
2. Season the Ribs: Generously season the short ribs on all sides with salt and pepper.
3. Sear the Ribs: Heat olive oil in a large Dutch oven over medium-high heat. Sear the short ribs until browned on all sides. Remove and set aside.
4. Sauté Aromatics: In the same pot, add onions, carrots, and celery. Sauté for about 5-7 minutes until softened. Stir in the garlic and cook for an additional minute.
5. Deglaze: Pour in the red wine, scraping the bottom of the pot to release any browned bits. Bring it to a simmer and allow it to reduce by half.
6. Add Remaining Ingredients: Stir in the beef broth, tomato paste, Worcestershire sauce, thyme, rosemary, and bay leaf. Bring to a gentle simmer.
7. Add Short Ribs: Return the short ribs back into the pot, ensuring they are submerged in the liquid.
8. Braise in Oven: Cover the pot and place it in the preheated oven. Braise for about 2 hours, or until the meat is tender.
9. Prepare Garlic Mash: While the ribs are braising, bring a large pot of salted water to a boil. Add quartered potatoes and garlic cloves. Cook until potatoes are fork-tender, about 15-20 minutes.
10. Drain and Mash: Drain the potatoes and garlic. Return to the pot, then add heavy cream and butter. Mash until creamy and smooth. Season with salt and pepper to taste.
11. Rest the Ribs: Once cooked, remove the short ribs from the oven. Let them rest for about 15 minutes before serving.
12. Serve: Serve the braised short ribs atop a generous scoop of garlic mash and spoon over the luscious sauce.

Each step builds towards a delicious meal that makes Irresistible Braised Short Ribs with Red Wine & Garlic Mash a dish worth savoring.