Prep the oven and pan: Heat the oven to 375°F (190°C). Line a sheet pan with parchment and lightly mist with cooking spray.
Blend the cottage cheese: Add cottage cheese to a blender or food processor and blend until silky smooth, 15–30 seconds.
This step improves texture and removes curdiness.
Mix the wet ingredients: In a large bowl, whisk the blended cottage cheese, egg whites, Greek yogurt, and olive oil until combined.
Combine dry ingredients: In a separate bowl, whisk flour, baking powder, and salt.
Form the dough: Add dry ingredients to the wet mixture in two additions, stirring with a spatula until a dough forms. If the dough is very sticky, sprinkle in 1–3 more tablespoons of flour. It should be soft but workable.
Divide and shape: Lightly flour your hands and work surface.
Divide the dough into 6 equal pieces. Roll each into a 7–8 inch rope and pinch the ends together to form a ring. If it tears, pinch and smooth with slightly damp fingers.
Add toppings: Transfer rings to the prepared pan.
Brush with egg wash or a thin film of oil. Sprinkle with everything seasoning or seeds, pressing lightly so they stick.
Bake: Bake for 18–22 minutes, until puffed and lightly golden. For a deeper color, switch to broil for the last 1–2 minutes, watching closely.
Cool briefly: Let bagels rest on the pan for 5 minutes, then transfer to a rack.
They firm up as they cool. Slice and enjoy warm, or toast later for extra chew.