Working over a large bowl, break the dry ramen noodles into small pieces (about ½-inch chunks). Pour the almonds into the bowl and stir to combine. Place these on a baking sheet and put in the oven for 5 minutes, stirring halfway.
Slice the green and purple cabbage and chop the scallions, then add these to a large bowl with the shredded carrots.
In a small bowl, add the crushed garlic and grated ginger. Add the olive oil, vinegar, honey, soy sauce, and sesame oil. Stir with a whisk to blend.
Add the edamame and toasted ramen/almonds to the bowl with the cabbage. Pour the dressing over the salad and toss.