Preheat the oven to 350°F and lightly grease a 9x13 baking dish. Set it aside.
Unroll both cans of crescent rolls and sprinkle about 1/2 tablespoon of crumbled cereal on the widest portion of each.
Place 1-2 slices of peach over the cereal and roll the crescent starting from the wide end down to the point.
Place the crescents in the baking dish side by side, close together, forming two rows.
In a small bowl, mix the butter, brown sugar, sugar, cinnamon, nutmeg, and vanilla extract until the mixture is smooth. Pour the sugar mixture over the dumplings in the baking dish, making sure to coat the top of each one.
Then pour the lemon-lime soda between the crescents making sure not to wash the sugar mixture off of the tops of the crescents.
Bake uncovered in the oven for 30 minutes or until the tops of the crescents are golden, and the dumplings are baked throughout.
Serve warm with extra peach slices and/or vanilla ice cream if preferred.
Notes
These Peach Crescent Dumplings can be kept in an airtight container in the refrigerator for up to 4 days or in a freezer for up to 5 months.