Preheat the oven to 350°F (175°C). Spread almonds and sesame seeds on a baking sheet and toast for 5 minutes until golden. Let cool.
In a dry skillet over medium heat, toast crushed ramen noodles for 2–3 minutes until lightly browned. Remove and cool.
In a large bowl, combine shredded green and red cabbage, toasted almonds, sesame seeds, and ramen crumbs.
Whisk together rice vinegar, soy sauce, sesame oil, honey, ginger, and garlic until smooth.
Pour dressing over the cabbage mixture; toss gently to coat all ingredients evenly.
Chill for at least 10 minutes before serving to let the flavors meld.