[2019] Italian Directives: The Road to Rome.

I assume you're referring to these, after completing a round (granted, my team died), this was my progress:

Given that even if your whole team dies, it is still considered a successful raid, I don't see it contributing to your daily missions. Furthermore on this point, the daily missions do seem to indicate when their components can be completed in Twilight Battles.

If I've misunderstood your question, please don't hesitate to reply.