Combine rub ingredients in a small bowl. Reserve 1 1/2 teaspoons to use in Beer Mop.
Form beef into four patties and cover with rub all over. Alternatively, dip tofu slices into rub, coating on all sides Cover with plastic wrap and refrigerate for 2 hours.
When you are ready to cook. preheat oven or grill to 250 degrees. If cooking indoors, line a baking sheet with parchment paper and cover with a metal rack. (Outdoors, place directly on grill surface). Let patties sit at room temperature for 15 minutes.
Stir mop ingredients together in a small pan and warm over low heat.
Transfer patties to the grill or oven and cook for about one hour. Brush patties with mop approximately every 15 minutes. Meat should be cooked until the internal temperature reaches 160 degrees. Cook tofu to desired crispiness.
Serve with rolls and desired sandwich toppings.
This recipe was adapted from Smoke & Spice by Cheryl Alters Jamison and Bill Jamison