Preheat your oven to 350°F (175°C). This ensures that your brownies bake evenly and achieve that coveted fudgy texture.
Line an 8x8-inch baking pan with parchment paper, leaving some overhang on the sides. This will make it easy to lift the brownies out after baking.
In a large mixing bowl, whisk together 1 cup of natural smooth peanut butter, 1 cup of unsweetened applesauce, 1 cup + 2 tablespoons of maple syrup, and 1 teaspoon of vanilla extract until the mixture is smooth and creamy.
In a separate bowl, sift together 1 cup of unsweetened cocoa powder, 3 tablespoons of coconut flour, 1 teaspoon of baking soda, and 1 teaspoon of fine sea salt.
Gradually add the dry ingredients to the wet mixture, stirring gently until just combined. Be careful not to overmix; you want your brownies to remain dense and fudgy.
Add ¾ cup of dairy-free chocolate chunks or chips to the batter and fold gently with a spatula until evenly distributed.
Pour the brownie batter into the prepared baking pan, smoothing it out evenly with your spatula. Sprinkle the remaining ¼ cup of chocolate chunks on top if desired.
Place the pan in the preheated oven and bake for 25-30 minutes, or until a toothpick inserted into the center comes out with a few moist crumbs. Be careful not to overbake, as this will result in drier brownies.
Remove the brownies from the oven and let them cool in the pan for about 15 minutes. Then, use the parchment paper overhang to lift them out of the pan and transfer them to a wire rack to cool completely.
Once the brownies are cool, slice them into squares. For an extra touch, sprinkle with flaky sea salt before serving. Enjoy your fudgy, peanut buttery delights!