Combine the rose wine with the grape juices in a spouted container or pitcher.
Add 2 blueberries and 3 raspberries to each ice mold. Pour the wine mixture over the berries until it fills the molds. If your molds have holes to insert sticks, insert a lollipop stick in each one (otherwise these will be added later).
Place the molds in the freezer until the liquid just starts to freeze at the bottom of the molds, for 1 hour. Insert a lollipop stick in the center of each mold if you haven't already. Allow the pops to freeze until solid, 8 hours or up to overnight.
Serve the pops in stemless wine glasses to catch the juice as it melts.
To make these non-alcoholic, just sub club soda for wine!