Completed Both missions on Republic side of this quest:
GSI Valued Partner Complete the Mission: [WEEKLY] GSI Valued Partner Initiative.
Requires the start or completion of the following Missions:
Buried Evils (Republic) / Weapons Of Chaos (Empire) and
The Search Begins (Republic) / Groundwork (Empire)
Received NO credit for doing either of them. And if I read this correctly I only had to start them. So I even completed Buried Evils AND The Search Begins. NOTHING.
Sadly even contacted a support person which apparently has NO CLUE how this game works or even what I was talking about.
Have a great day,
Ray