Engine Sentai Go-Onger: Boom Boom! Bang Bang! Movie BANG!(2008)

Overview:

The Go-Ongers intercept the Recycle Barbaric Machine Beast Army in their Engines, managing to scrap the 13. However, trio of mysterious warriors appear and their actions result in the Go-Ongers losing the primary Engine Casts while being sucked into the Braneworld known as Samurai World, a dimension similar to Edo Japan where power is essential.