EDIT: Oh, I guess After Effects with some stock background video and audio track mostly.
Burning logo effect: https://www.youtube.com/watch?v=wkP-IYmPzpI
Glitch effect: https://www.youtube.com/watch?v=7eOMSuPdbok
Simulated monitor recording (this doesn't show the monitor border though..) https://www.youtube.com/watch?v=JOYdGtyxMkI
Animated font effects - surely these are possible if the rest is.
At 1:04, I think they made a custom graphic to that overlays the stock video below.