01 - Combine warm water, active dry yeast, and sugar in a large bowl. Let sit for 5 minutes until foamy.
02 - Add all-purpose flour, salt, and olive oil to the yeast mixture. Stir until a dough forms, then knead on a floured surface for 5 to 7 minutes until smooth and elastic.
03 - Place the dough in a greased bowl, cover, and let it rise in a warm environment for 45 to 60 minutes until doubled in size.
04 - Preheat oven to 425°F. Line a baking sheet with parchment paper.
05 - Punch down the risen dough and roll it into a 9 by 13 inch rectangle. Transfer to the prepared baking sheet.
06 - Mix melted butter and minced garlic, then brush evenly over the dough surface.
07 - Evenly sprinkle shredded mozzarella and grated Parmesan cheeses over the garlic butter layer.
08 - Using a pizza cutter or sharp knife, lightly score the dough into 8 equal strips without cutting all the way through.
09 - Bake for 15 to 20 minutes until the breadsticks turn golden and the cheese bubbles.
10 - Remove from oven, sprinkle with chopped fresh parsley if desired, let cool slightly, then pull apart and serve warm.