In a large bowl, combine warm water, yeast, and sugar. Let it sit for 5-10 minutes until foamy.
Add flour, salt, and olive oil to the yeast mixture. Mix until a shaggy dough forms. Turn out onto a lightly floured surface and knead for 8-10 minutes until smooth and elastic.
Place the dough in a greased bowl, cover, and let it rise in a warm place for 1-1.5 hours, or until doubled in size.
While the dough rises, prepare the garlic topping: In a small bowl, whisk together melted butter, minced garlic, parsley, oregano, salt, and pepper.
Punch down the risen dough and turn it out onto a lightly floured surface. Roll it into a large rectangle, about 12x18 inches.
Brush the dough evenly with the garlic butter mixture. Sprinkle with mozzarella cheese.
Cut the dough into 12 strips, about 1.5 inches wide.
Twist each strip into a breadstick shape. Arrange on a baking sheet lined with parchment paper.
Bake in a preheated oven at 375°F (190°C) for 12-15 minutes, or until golden brown and cooked through.
Serve warm.
Notes
For extra flavor, you can add a pinch of red pepper flakes to the garlic topping. These breadsticks are best served fresh.