Place all ingredients for Peanut Sauce in blender or food processor; blend or process until smooth and well-combined. Place sauce in serving bowl.
Line grill grates with tin foil sprayed with grill non-stick spray.
Preheat grill; set grill temperature to medium-low. Combine olive oil and chili powder in small bowl. Brush pierogies with chili mixture. Toss chicken chunks and beef chunks separately with salt and pepper to taste.
On eight 12-inch long metal skewers, alternately thread pierogies, chicken pieces, beef pieces and peppers. Arrange skewers on grill rack.
Grill skewers 18 to 20 minutes, turning skewers occasionally, until pierogies, chicken, beef and peppers are cooked through. Serve with peanut sauce.