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Place an oven-safe cooling rack on a baking sheet. Set aside.
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Add yeast to warm water, then sugar, stir to hydrate the yeast. Let this sit for a few minutes for the yeast to bloom.
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In a mixer bowl with the dough hook attachment, mix together flour and salt.
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Carefully pour the yeast mixture and oil onto the mixer bowl. Turn on the mixer to low-medium speed. Knead the dough for 10-20 minutes.
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Once the dough forms a ball and clings to the hook, remove from the bowl. Knead by hand for at least 5 minutes then shape it into a ball.
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Place the dough on a greased bowl and cover with cling wrap. Let the dough rise for 1 ½ hours or until it doubles in size.
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Unwrap the bowl and punch the dough to deflate it. Weigh portions of the dough, about 30-40 grams.
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Roll out the dough and form a rectangle. Sprinkle about ½ teaspoon of parmesan and ½ teaspoon of cheddar cheese, roll the dough to form a log, then pinch the seam to secure the cheese. Repeat with the other portions of dough.
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Place leftover cheese and ground black pepper in a wide plate. Roll the logs of dough on the cheese.
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Wrap the breadsticks with bacon strips. Bake in the preheated oven (375F/191C) for 15-20 minutes.
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Mix the melted butter, garlic and parsley in a small bowl.
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Remove the breadsticks from the oven. Brush lightly with melted butter mixture.
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Serve.