Preheat and prep: Heat the oven to 350°F (175°C). Line a baking sheet with parchment paper.
Mix dry ingredients: In a bowl, whisk coconut flour, psyllium powder, baking powder, baking soda, salt, and sweetener if using.
Break up any lumps.
Whisk wet ingredients: In another bowl, whisk eggs, melted butter, warm water, and vinegar until smooth.
Combine: Stir wet into dry. Let the batter rest for 2–3 minutes to thicken. If it’s too stiff to scoop, add 1–2 tablespoons warm water.
You want a soft, scoopable dough.
Shape buns: Divide into 4–5 equal portions for burger-size buns. With damp hands, form rounds about 3.5–4 inches wide and 1–1.25 inches tall. Smooth the tops gently.
Top and gloss: Brush with egg white for shine and structure.
Sprinkle sesame seeds if you like.
Bake: Bake for 18–22 minutes, until set, lightly golden, and springy to the touch. A toothpick should come out clean.
Cool properly: Let buns cool on the sheet for 5 minutes, then move to a rack for at least 15 minutes. This helps them firm up and stay soft inside.
Toast before serving: Slice and toast cut-sides in a skillet with a little butter or oil for the best texture and flavor.