Move oven rack to middle position and set oven to broil on high. Whisk together just 1 tsp paprika, just 1 tsp chili powder, just 2 tsp sugar, and a pinch of salt and pepper in small bowl. On baking sheet, combine shiitake protein, just half the spice blend, just 2 tsp liquid smoke, and 1 tbsp vegetable oil and toss to coat. Broil until shiitake protein is crispy in places, 4 to 6 minutes. Drizzle with just 2 tbsp vinegar, toss to coat, and set aside. (TIP: All broilers are different; watch carefully to ensure shiitake protein doesn’t burn.)

Whisk sour cream, just 2 tsp sugar, just 1 tbsp vinegar, and a pinch of salt and pepper in medium bowl. Add coleslaw blend and toss to combine.

Whisk together remaining spice blend, remaining vinegar, mustard, just 1 tsp tomato powder, remaining sugar, and 1 tbsp water in small bowl.

Place bottom half of each bun on plate and top with some BBQ sauce. Divide shiitake protein between sandwiches and drizzle with more BBQ sauce. Top with some slaw, close sandwiches, and serve with remaining slaw. Tuck in!

For 4-serving meal, double all ingredients. You may need to cook in batches, in larger cooking vessels, or for longer cook times. Follow visual cues in 2-serving recipe.