Preheat oven to 375°F. Brown meat and drain well. Stir in cheese, onion, sour cream, and broccoli. Simmer 10 minutes.
On an ungreased cookie sheet, place dough from both cans side by side--long ends overlapping slightly. Press perforations to seal. Spoon meat mixture into center. Bring edges of dough to center. Seal edges. Brush with beaten egg.