I'm surprised it hasn't come up yet. I'd say give this book a try:
The Art of Doubles: Winning Tennis Strategies and Drills
by Pat Blaskower
At about 1:28 you get lobbed cross court. Next time from the ad you get passed, and the lob could have been an option too. They talk about stuff like that, if you're approaching where should your shot go.
I'm not saying you should do this or that, but in this case video shows your opponent had options, which is good to see and learn for the next times.
There's a chapter on poaching. For example, it'd suggest that at 2:02 (looks like a planned poach) that your partner fully commits and then follows his volley aiming at the left ally (ok, could be practice or execution in this case).
It's probably better if you get it from the book, much better than I could explain it. It has tons of strategy, defines roles for players, and proposes targets and angles to cover. And most of all... it'll get you and your partner on the same page.