Return browned roast to pan. Add the red wine, thyme sprigs, chopped garlic, beef broth, and bay leaf to pan; bring to a simmer. Cover pan and bake at 350° for 1 1/2 hours or until the roast is almost tender.
Add carrots and potatoes to pan. Cover and bake an additional 1 hour or until vegetables are tender. Remove thyme sprigs and bay leaf from pan; discard. Shred meat with 2 forks. Serve roast with vegetable mixture and cooking liquid. Garnish with thyme leaves, if desired.