Heat olive oil in a large, deep skillet or Dutch oven over medium-high heat. Add chopped onion and bell pepper and cook until onion is translucent, about 2-3 minutes. Add garlic and cook about another minute until fragrant.
Add meat and break apart with wooden spoon. Season with salt + pepper, garlic powder, herbs de provence, smoked paprika and turmeric. Cook until meat is browned and almost cooked through, stirring occasionally, about 3-5 minutes.
Add crushed tomatoes, liquid aminos or lite soy sauce, balsamic vinegar, liquid smoke and brown sugar to meat mixture. Stir to combine all ingredients. Reduce heat to medium-low and simmer uncovered until thickened and reduced, stirring occasionally, about 10-15 minutes depending on your desired consistency. Remove from heat.
Toast four hamburger buns in the oven and top each bottom bun with a few spoonfuls of sloppy joe mixture. Add toppings if desired and enjoy!
*See notes in blog post above for other meat substitution suggestions. You may also make this recipe with ground beef, turkey or chicken if you are not vegetraian.