Well, glad to hear this isn’t a bug – just a challenge! All right, we’ll be nice and give a little guide!
There’s two different ways to do this part. So a ‘sparkly’ note on the nearby wall to the laser grid states “BOTH terminals must be pressed within 5-Seconds to open”. You need to deactivate these lasers in order to continue the mission.
The 2 terminals are located both sides of this area by the blue chairs, so press either one, then you must sprint (by holding Shift/clicking on the map to sprint) over to the other one to press it within the 5-second time – although the agents will ambush you the very first time unless you cleared them in advance! It can be done, but you'll have to sprint very quickly – you can get more time on the countdown:
Back in the previous area with the Security Control Room, you can access the ‘Auxiliary Power Systems’ to divert power. This doubles the countdown time to 10-seconds, making reaching both terminals in time much easier, plus you gain a little XP. After that the laser grids falls and you’re almost there to save the boys! You saw the episode too, right? Well, there may a few be more agents waiting, just saying...

We did consider making a play-through video series to help people out; think that would be useful for parts like these?