Shred the cabbage using a mandolin or a very sharp knife. You will want very thinly sliced pieces of cabbage.
1 cup red cabbage
Place shredded cabbage into a colander and rinse with cold water. Sprinkle with ½ teaspoon salt. Allow the cabbage to sit in the colander for 15 minutes. After 15 minutes, use a paper towel to draw out any additional moisture.
1 teaspoon salt
Cut carrots into long ribbons using a vegetable peeler. Cut the ribbons into smaller, bite-sized pieces. Place carrots into a large bowl.
2 medium carrots
Heat honey to soften it, then add it to a small bowl. Combine with lime zest, lime juice, pepper, ½ teaspoon salt, and avocado oil.
1 standard lime, 1 tablespoon honey, 1 tablespoon avocado oil, 1 pinch pepper, 1 teaspoon salt
Add cabbage, cilantro, and honey lime dressing to the large bowl and gently toss to incorporate. Season with pepper and additional salt to taste.