Preheat the oven to 350 degrees Fahrenheit.
Add 1 1/2 cups rinsed and drained canned black beans to a mixing bowl, then use a potato masher to mash them until mostly smooth with some small chunks remaining.
Add 1/3 cup cold water, 2 1/2 tablespoons soy sauce or tamari, 1 tablespoon balsamic vinegar, 2 teaspoons extra virgin olive oil, 3/4 teaspoon garlic powder, 3/4 teaspoon onion powder, 1/4 teaspoon black pepper, and 1/4 teaspoon optional smoked paprika to the mixing bowl, then mix well.
Spoon 1 cup vital wheat gluten into the measuring cup (don’t scoop), then add it to the mixing bowl.
Use your hands to mix the ingredients until incorporated, then knead for 2-3 minutes.
Divide that mixture into four equal pieces and shape each one into a burger patty. Place them on a 9x13-inch (or similar size) baking dish lined with parchment paper.
Cover the baking dish with foil or an oven-safe lid, then bake at 350 degrees Fahrenheit for 25 minutes.
Remove the cover, then continue to bake for 15 minutes.
Let the burgers cool off for at least 1 hour (the texture won’t be right if you skip this step).
Brush the burgers with extra virgin olive oil (optional), then reheat however you like: grill them at 375–400°F for 2-3 minutes per side, bake them at 350°F for 8-10 minutes, or pan-fry them over medium heat for 2-3 minutes per side.