Kamen Rider Saber + Kikai Sentai Zenkaiger: Super Hero Senki

Touma, Yuri, and Mei somehow ended up in the World of Zenkaiger while the Zenkaigers, except Juran, ended up in the World of Saber. The reason for their swap is due to a man who wishes to rid the world of heroes. How does a male, teenage artist tie into this? And why are they sent into different stories with previous Kamen Riders and Super Sentai Teams?