Heat oil in a large Dutch oven over medium-high heat. Place the roast in the pan, and brown on all sides. Reduce heat to medium-low, and pour in the tomato sauce, broth, and vinegar. Season with chili powder, salt, pepper, and garlic. Simmer over medium-low heat for 3 hours, or until meat is fork tender. Remove beef, and refrigerate overnight. Reserve sauce, and refrigerate. Slice or shred beef, and place in a large pot on the stove with the sauce. Heat through, and serve alone, or over the “faux”tatoes. Top with shredded cheddar cheese and a cherry if desired and serve.