Preheat oven to 425° Fahrenheit. LIghtly grease a baking sheet or line with parchment paper or baking mat.
Add carrots and broccoli into a food processor/blender and pulse several times until finely chopped.
Add the rest of the ingredients and pulse until combined and chunky (be careful not to overmix)
Take about 1 tablespoon of the mixture and form into a ball. Flatten slightly into nugget shapes.
Roll in extra breadcrumbs if desired.
Bake at 425°F for 20-25 minutes, flip halfway (see note)
Serve with your favorite condiment, like ketchup, ranch, etc.
Heat oil in a cast iron or non-stick skillet over medium-high heat. Working in batches, add nuggets in skillet and cook about 4 minutes each side, or until golden brown and crispy.
