All-Butter Piecrust (recipe follows)8 ounces (227 grams) creamy feta cheese¼ cup (56 grams) whole-milk ricotta cheese2 tablespoons (6 grams) chopped fresh chives2 tablespoons (28 grams) olive oil, divided5 large fresh basil leaves1 teaspoon garlic powder1 teaspoon ground black pepper, divided½ teaspoon chopped fresh thyme1 pound (454 grams) medium carrots with tops¼ teaspoon kosher saltCarrot Top Chimichurri (recipe follows)
Line a rimmed baking sheet with parchment paper.
On a lightly floured surface, roll All-Butter Piecrust into a 10½-inch square (about ¼ inch thick). Using a sharp knife, trim ¼ inch from all sides of dough. Using a bench scraper or the back of a knife, lightly score a square into dough 1 inch from edges. Carefully transfer dough to prepared pan.
In the work bowl of a food processor, pulse feta, ricotta, chives, 1 tablespoon oil, basil, garlic powder, ½ teaspoon pepper, and thyme until smooth and creamy, 1 to 2 minutes. Spread mixture onto dough within scored square. Freeze for 15 minutes.
Position oven rack in bottom third of oven. Preheat oven to 400°F (200°C).
Peel and halve carrots lengthwise, reserving tops for chimichurri. On a baking sheet, toss together carrots, salt, remaining 1 tablespoon oil, and remaining ½ teaspoon pepper. Arrange carrots on feta mixture.
Bake for 20 minutes. Cover with foil, and bake until crust is golden brown, 10 to 15 minutes more. Let cool on pan for 15 minutes. Top with Carrot Top Chimichurri. Best served warm. Refrigerate in an airtight container for up to 2 days.