In a large bowl, whisk together the gluten-free flour blend, instant yeast, granulated sugar, and salt.
Mix in the unsalted butter and warm water until a sticky dough forms. If the mixture appears dry, add a small amount of water gradually until it comes together. If it’s too wet, incorporate some flour.
Place the dough onto a lightly floured surface and knead for 2 to 5 minutes until it is smooth. Add more flour only as needed.
Divide the dough into 12 equal pieces. Roll each piece into a long breadstick, about 6 inches in length. Place them on a baking sheet lined with parchment paper, leaving about 2 inches between each.
Cover and allow the breadsticks to rest for 60 minutes. Preheat the oven to 375°F.
Bake for 10-15 minutes or until they are lightly golden. Remove the breadsticks from the oven and brush them with olive oil mixed with garlic powder. Serve warm.