Sear the Mock Chuck: Heat olive oil in a pot over medium-high heat. Add the mock chuck and sear it on all sides until golden brown, about 5-7 minutes. Remove it from the pot and set aside.
Sauté the Aromatics: In the same pot, add chopped onions, carrots, celery, and garlic. Sauté until softened, about 5 minutes. If desired, pour in some wine to deglaze the pot and scrape up any brown bits.
Add the Braising Liquid: Return the mock chuck to the pot. Add vegetable broth, soy sauce, rosemary, thyme, bay leaves, and season with salt and pepper. Stir and bring to a simmer.
Braise the Mock Chuck: Lower the heat, cover, and cook for 2-3 hours, stirring occasionally. The mock chuck should become tender and absorb the flavors.
Finish the Sauce: Once the mock chuck is done, remove it from the pot. Simmer the sauce uncovered for 10 minutes if you want it thicker. Taste and adjust seasoning.
Serve: Slice or shred the mock chuck and serve with the sauce. Pair with mashed potatoes, rice, or your favorite sides.