To create a "Production," you need a team. Use the "Follower" system to recruit other NPCs (or control multiple phones via split-screen) to act as your backup dancers. Dress them in matching pastel blue or yellow to contrast your pink lead.
Sakura School Simulator does not have a dedicated dance battle mode like Persona 4: Dancing , but it does have emotes. To simulate a Cherry Pop performance: cherry pop production sakura school simulator