Heat oven to 400°F. Line a baking sheet with parchment.
Cook bacon until crisp, then chop and pat dry with paper towels.
Stir melted butter with garlic, parsley, oregano, salt, pepper, and red pepper flakes.
Dust the counter with flour. Roll the dough into a 12x14-inch rectangle.
Brush half the garlic butter over the dough, leaving a small border on one long edge.
Scatter mozzarella, half the Parmesan, and the bacon evenly over the buttered dough.
Roll up tightly from the long side toward the clean border. Pinch the seam to seal.
Slice the log into 12 rolls and arrange cut side up on the baking sheet, spaced slightly apart.
Brush tops with remaining garlic butter and sprinkle with the rest of the Parmesan.
Bake 16–18 minutes until golden and bubbling. Cool 5 minutes before serving.