In a medium-sized mixing bowl, combine the cream cheese, mayonnaise, parsley, dill, garlic powder, onion powder, salt, and ground black pepper. Adjust seasoning to taste.
Fold in the broccoli, carrots, and cheddar cheese. Stir until all ingredients are evenly distributed.
Onto a flat work surface, arrange tortillas in an even layer.
Place tortillas on a flat work surface in an even layer. Onto each tortilla spoon 1/4 of the mixture. Use the back of your spoon to spread the mixture an even layer, covering the entire tortilla.
Starting at one end, slowly but tightly roll each tortilla.
Wrap each rolled tortilla in plastic wrap and set in the refrigerator. Allow to chill for 1 hour.
Remove from refrigerator, unwrap, and slice into 1-inch rounds.
Serve chilled or room temperature.