Preheat oven to 350 degrees F. Line 16 cups of a 24-cup mini muffin pan with paper liners or coat with cooking spray.

Cook quinoa with 1/8 tsp. salt according to package directions. Remove from heat and let stand, covered, for 5 minutes. Transfer to a large bowl and let cool for at least 10 minutes.

Add broccoli, Cheddar, baking powder, garlic powder, onion powder, pepper, and the remaining 1/4 tsp. salt to the quinoa. Stir in egg.

Divide the quinoa mixture among the prepared muffin cups, pressing firmly with lightly moistened fingers. Mist the tops with cooking spray.

Bake until golden, 22 to 25 minutes. Let cool in the pan on a wire rack for 20 minutes, then remove to the rack to cool completely.