That bar should fit as it is the correct part number. If you look at this picture of a 2014 Corolla Altis (international version of the 11th gen Corolla), it has the bar installed on the car perfectly.
In your video, it looks like the gap that you have between the bar and the mounting location is small so I would suggest that you actually raise the car up on jack stands and then try to install it. If you lift the car up, it'll take the load off the suspension and body completely which will most likely shorten the gap or make the bar sit flush so that you can install it.