Preheat the oven to 400°F and line a baking sheet with parchment paper.
Blend the cottage cheese, eggs and 4 tablespoons of melted butter until completely smooth. The blended cottage cheese gives almond flour biscuits a soft, fluffy, bread-like texture instead of a dry, crumbly one.
Whisk the almond flour, coconut flour, baking powder, garlic powder and salt in a large bowl, breaking up any lumps.
Pour the cottage cheese mixture into the dry ingredients and stir until combined, then fold in the cheddar and chives. Let the dough rest for 5 minutes so the coconut flour can absorb the moisture and the dough firms up.
Scoop 1/4 cup mounds onto the baking sheet about 2 inches apart, making about 10 biscuits, and lightly shape them into rounded domes with damp hands.
Bake for 15-18 minutes, until golden brown and firm to the touch. Let them cool on the pan for 10 minutes, since they are delicate when hot, then brush with melted butter and serve.