I ran a tactical flashpoint randomly through GF, ensuring all boxes were ticked and the daily reward eligibility was lit up, and neither Searching for Allies nor the [Daily] Tactical Flashpoint mission completed. Oddly enough, I did get credit for my [Weekly] Tactical Flashpoints quest, which is now 1/5 complete.

I was on pub side, and joined a Czerka core meltdown flashpoint "in progress", though they had not killed any bosses yet.

This is happening to me too. Tried to do a Searching for Allies daily. Got Rishi. Was doing it yesterday on Introduction to Group Finder.

Seems to only work sometimes on certain FPs, but not all. Not sure the reason... we did have a 65 in our group (randomly matched) when we completed the ones that failed, but not the one that succeeded. The one that worked was Kuat.