What do you mean by "stopped"? the move route command completed, or the event ran into something & can't complete the move?
If it can't complete, use the "Ignore if can't move" option.
to continue to move, use another 'Move Route' command.
The trigger you use depends on the situation. For a cutscene, where the player should not be able to move, use 'Autorun', but make sure you set a self switch at the end of the page, and create a new page with the condition, "Self Switch __ is ON", so the Autorun event doesn't continue to run & freeze your game.
If the movement is intended to occur on another part of the map while the player is playing, then a Parallel Process is in order. Again, if you only want it to happen once, you have to set a condition to stop it.
Provide more info -> get a better answer!
Be Well