Preheat the oven to 300 degrees F. Line a baking sheet with a silicone baking mat smooth-side up.
Put the sour candy pieces in a sturdy bag, break them up with a rolling pin and pour into a bowl. Put the sweet candy pieces in a bag, break them up with a rolling pin and add them to the bowl. (Do them separately, as the different candies break up differently.)
Using a tablespoon, place 2- to 3-inch circles of candy 3 inches apart on the baking mat. (You can get about 8 on a baking sheet.) Bake until the candy has melted, about 7 minutes. Place a lollipop stick in the middle of each circle, carefully spinning the stick so that it gets coated with the hot candy. Let cool completely, 10 to 15 minutes. Repeat with the remaining candy. Store in a cool, dry place.