Start by combining the self-rising flour and Greek yogurt in a mixing bowl.
Stir until the mixture forms a shaggy dough. It will feel sticky at first, but keep working it gently with a spoon or spatula until it comes together.
Turn the dough out onto a lightly floured surface and knead for about 1–2 minutes until smooth.
Divide the dough into four equal portions. Roll each piece into a rope and connect the ends to form a circle.
Don’t stress if the shapes aren’t perfect; they’ll bake up beautifully even if the circles are uneven.
Brush each bagel lightly with beaten egg.
Everything bagel seasoning is the classic choice, but sesame seeds, poppy seeds, or even shredded cheese work just as well.
Bake the bagels at 375°F for 22–25 minutes, or until golden brown.
If you want extra color, switch the oven to broil for the last 1–2 minutes, but watch carefully so they don’t burn.