Without looking in more detail there are two methods that might apply.
One is screen-space reflections. If the content being reflected is also on screen this is easy to do, but the downside is if the content being reflected is off screen, it doesn't exist any more and the reflection disappears.
The other trick I've seen is a generic fake reflection. If you know what is in the area you can create a generic fake environment to show as the reflection. It looks convincing enough and even moves with your viewpoint.