Cook the pasta according to the package instructions, 8-12 minutes. Once the pasta has cooked, drain and rinse it with cool water to stop the cooking. Set the pasta aside to drain.
In a medium bowl, combine the mayonnaise, Greek yogurt, honey, salt, pepper, apple cider vinegar, garlic, tarragon, and dill. Whisk to combine until it is smooth. Taste and adjust for seasoning.
In a large bowl, combine the drained pasta, shredded carrot, diced bell pepper, red onion, and dressing. Stir together and place in the refrigerator for 2 hours before serving.
