Combine sugar, water, and cinnamon sticks in Multipurpose Pot - 8 cup. Bring to a boil over medium heat and simmer until sugar dissolves.
Remove from heat and add vanilla extract.
Arrange peaches, cut-side up, on Sheet Pan lined with parchment paper. Pour syrup over peaches and bake for 25 minutes, basting frequently using Basting Brush.
Place 2 peach halves on each dessert plate and drizzle with remaining syrup.
Preheat barbecue to medium.
Place peaches, cut-side down, on grill. Barbecue for 1-2 minutes, until marks form.
Turn over and baste with syrup. Continue grilling for 1-2 minutes, until tender.
Place in bowls and spoon additional syrup overtop. Yum.