Combine the coleslaw mix, broccoli, and green onions in a large bowl and set aside.
Melt the butter in a large skillet over medium heat. In a bowl, combine ramen noodles, almonds, and sunflower seeds. Sprinkle ramen seasoning packages on top. Cook and toss the noodles and nuts in the skillet for about 8 minutes, or until toasted.
Combine soy sauce, vinegar, sugar, and oil in a jar with a tight-fitting lid. Close and give it a good shake to blend.
Stir together the noodles, slaw, and nuts right before serving. After pouring the dressing over everything, give it a little toss to coat.