My manager asks for updates on what I'm working on several times throughout the day.
Lately when he finds out I'm working with someone else on something, he wants to know who's holding up the project.
Even if it's just something a coworker and I are both working on together, he asks to see my emails and Teams messages with them and then tells me that I need to send a followup email to the one I sent 20 minutes ago saying "Is there a reason why you've chosen not to respond to me?" or CCing IT and asking if they can check if my coworker's computer is on.
I think this is pretty stupid and disrespectful, but this is what he's insisting. I've tried saying so and he always says that there isn't valid evidence that I would know what's professional better than he does.
I've also brought this up to his manager in our skip-level meetings and he says that this isn't something he can help me with. So I always end up sending a passive aggressive message that my manager dictates.
This is reflecting poorly on me - how can I push back and stop this?