Add one 6-ounce package of blackberries to a food processor or blender along with the sugar. Puree until smooth. Press the puree through a fine mesh sieve and discard the pulp and seeds. You should be left with about 1/2 cup fresh blackberry puree.
To a 2.5 quart pitcher, add the blueberries and blackberries.
Pour in the lemonade, blackberry puree, vodka, wine, sweet and sour, and water. Stir to combine until the puree with evenly mixed into the drink.
Add the lemon slices to the pitcher.
Fill a rocks glass or wine glass with ice. Fill the glass with punch allowing the blueberries to fall into the glass. Add one lemon slice on top fo the ice for garnish.
I like a citrusy sauvignon blanc for this punch, like Smart Cookie, but any sauvignon blanc or pinot grigio you enjoy would work.