Lupinranger vs Patranger vs Kyuranger

The story begins when the Lupinrangers, Kairi, Touma, and Umika, are kidnapped by someone mysterious. The Patrangers are then tasked with an Abduction Case to find the missing thieves, where they run into the Kyuranger team as they pass through space. Just who exactly kidnapped them? And why did the 12 Kyurangers return to space?