Prepare the ingredients. Peel and grate the carrots and radishes. Chop the raisins, if desired. Crush the Ramen noodles into small pieces.
In a large bowl, mix together broccoli coleslaw, carrots, radishes, raisins, sunflower seeds, and noodles (leaving 3 tablespoons for tossing at the last).
In a small bowl or glass measuring cup, whisk together vinegar, oil, and sugar.
Pour dressing over the slaw mixture. Toss to combine. May garnish with remaining noodles, if desired. Serves 6-8.