For pomegranate juice: Add the seeds from half of a pomegranate to your Vitamix container, add a little water and secure lid.
Set Vitamix to pre-programmed Smoothie setting and start the machine. It will automatically shut off once the cycle is complete.
In a small mixing bowl, add honey, balsamic vinegar and 1/4 cup of pomegranate juice. Stir vigorously to combine. Set aside mixture to be used as your glaze
Heat butter and extra virgin olive oil in a 12-inch skillet. Add your carrots to the pan and season with salt. Toss and then let them cook for about 5 minutes. Then turn them over and let them brown on the other side for about 2 minutes. Stir and cook for another 3 minutes.
Next add chicken broth, cover, and cook for 2 more minutes.
Now add the glaze and season with cayenne pepper.
Cook and stir for a minute, turn off the heat and add a tablespoon of butter. Sprinkle with fresh mint and toss gently so the carrot sticks don’t break. Garnish with a little more mint and serve warm.