Help with editing an image or video to match a moving matte

[BigBrianTime]

Hi guys, stumbling through the CC professionally for about a year now. Mostly PS, Aud and PP, and very basic stuff in AE and AI.

I have a stock animation of an opening laptop with a separate matte layer (a gif of which is attached).

The only way I could make the underlying video fit through the animation is to apply adjustments frame by frame. It worked for this one, but I'm going to be using a longer animation for a future video and that will take too much time using this method

I'm sure with all the tools and key tracking there's gotta be a way to have PP track and adjust the size/shape/transform of the image automatically. Is this possible? I feel like this should be easy, but can't figure this out, and while my google skills are good, I feel like I'm not asking the right search questions. Also it's never been addressed in any tutorials I've gone through, even ones specifically about mattes.

At my wit's end. Even if you can just point me to a proper tutorial on this I would greatly appreciate it.

[R Neil Haugen]

That sounds like it would need a Transform and maybe a couple other effects applied, then keyframed and tracked. That should give you a few more things to search for.

Tracked keyframes are the way to animate any screen element over time.

[BigBrianTime]

Your description is it exactly. Because the movement (in this case) is pretty smooth, I'm able to roughly approximate the size and position. The transform was a nightmare, and I found it easier in this case to use the basic 3D tilt rather than free transform for this one. Main problem is that some of the other mattes I plan on using don't use a linear curve, my guess is some bezier setting. 

Regardless, I added "Tracked keyframes" to my search terms and came up with mostly the same results I've been seeing. And to be clear, a lot of the tutorials have been helpful; but almost all are about tracking a subject in a video. The rest do something almost what I need, namely tracking position, which is a start. The size and transform are never even mentioned. 

Let me ask a separate question-- Is something like this easy to set up in AE? I've also done searches on that with about the same results.

[R Neil Haugen]

Complex tracking operations are a specialty of Ae ... they can be done mostly in Premiere, but Ae's tools ... as a compositing app ... vastly outdo those available in Premiere.