I have problems with this campaign, too, but a different one: No matter how the mission Myriad (where you fly the Pegasus to scan ships before the attempt to capture the Sathanas) turns out, even cheating to control which ships survive or die, two things happen:
1. Both allied capital ships stop firing on the Sathanas when it gets down to the 10-20% range, a couple minutes after the Anya jumps in - they're usually pretty badly damaged by that point, sometimes I lose one or the other, but usually there should still be some fight left in them.
2. The debriefing insists both capital ships were destroyed, regardless if one or both survived and won't let me continue to the next mission.
I forgot where I downloaded Tech Superiority from, but I'm using three fixed missions I found in another thread (which got me through the "cinematic" mission that was giving me trouble).