Origins Burnham
Officer shards can be obtained from completing the following missions: Intuition and Odd Shapes on the Horizon. Also, shards can be gained through the Discovery Officer Chest.
Origins Saru
Officer shards can be obtained from completing the Volatile Market mission. Also, shards can be gained through the Discovery Officer Chest.
Origins Stamets
Officer shards can be obtained from completing the Made You Look mission. Also, shards can be gained through the Discovery Officer Chest.