Place the Ninja SLUSHi on a flat, solid surface. Install the condensation catch, auger, vessel, and drip tray according to the machine setup instructions.
In a large mixing pitcher, combine the lemon-lime soda, orange juice, cherry juice, simple syrup, and brandy. Add the bitters and stir gently until all the ingredients are well mixed.
Pour the mixture into the Ninja SLUSHi through the easy-fill port. Keep the liquid level between 16 and 64 oz.
Close the cover, turn on the machine, and select the Spiked Slush preset.
Let the machine chill and stir the mixture for about 15–60 minutes, depending on the starting temperature and amount of liquid.
When the machine signals that the slush is ready, place a glass under the dispenser and slowly pull the handle. Release the handle when the glass is filled. Garnish with an orange wedge and a cherry, then serve right away.