Gary Klein of the LA Times interviewed Mike Scioscia, Don Mattingly, and Tommy Lasorda to get their insights on how to construct a decent lineup card. Regarding Mattingly's case, I was definitely interested to understand his perspective since his lineups seem incredibly befuddling. But after reading the entirety of this article, I think Klein's piece can be summarized more cleanly (so I'll save you the time of reading):
There you have it! Now you can be a manager as well.