Major Orders are community progressed objectives. Currently, we have successfully defended 5 planets. Ingmar was the last successful defence campaign.
The "get 60 kills with the anti material rifle" was a Personal Order. Each Helldiver completes them as a personal goal for the day. While I cannot find confirmation, personal orders are probably bugged since the last update(s). I haven't seen a new personal order for a couple days.
Now go out there and spread managed democracy