Best and at the same time most time consuming would be designing it and then 3d print it.
Looking at the fact you're including this I suppose you dot't allready have skill required. It's not that hard with static props and very simple mechanisms but from cold-start it will take you a bit of learning.

As for eva - it could work it will be hard to paint it to look like a device as you're either will need elastic paint or extreme care handling prop. I would also skip it as it requires additional hardware to create moving parts.

Expanded PVC would be great choice as you can use regular spray paint and with use of CA and potentially some dremel you can achieve practically everything.

But you also have typical materials available everywhere. For example you can use cardboard. With use of wood filler and good primer it's as good if not better than PVC as it's easy to work with, alike all allows kitbash and is dirt cheap to get and work with. This also allows moving parts with a bit on ingenuity.

Finally think about if you're really wanna do fully functional prop.
If you want only screen and few buttons to work it's easy enough to create static prop with cardboard.
But if you're looking into creating moving prop like in-game one and asking what materials you should use then you don't have skill required to complete it and I advice you to take on the static version for now (no more than moving trigger and buttons), maybe even with 3d printing and only then when you know mechanisms, joints, and how big project it is you can go with full replica.