In a food processor, puree strawberries with 1 tablespoon sugar. Transfer to a small bowl. In processor, puree blueberries with 1 tablespoon sugar. In another small bowl, whisk together yogurt and 2 tablespoons sugar. Pour the 3 mixtures, alternating, into ten 3-ounce ice-pop molds, making 3 to 5 layers in each. With a skewer or thin-bladed knife, swirl mixtures together in an up-and-down motion. Insert ice-pop sticks and freeze until solid, 2 1/2 to 3 hours (or up to 1 week).
For tropical pops, use 4 kiwis and 1 large mango (about 1/2 pound each) instead of the berries.