Is this just two video layers that you’re cross-dissolving between? If so, to make what you’re describing work you’ll need to recreate the background and then both text elements as separate layers, placing one layer “behind” the other for the intended effect. The STAR WARS logo should be fairly easy as you can find transparent versions of that everywhere, and have it just shrink then fade. The ROGUE ONE animation might be trickier, but if you grab a screenshot of the starfield from that video and use that as a background you might be able to pull it off. So:

Background starfield from screenshot
STAR WARS logo that shrinks then fades
ROGUE ONE video element that dissolves in over the other two