Can you use a Mini RF/IR remote to control Mini & Roamio?

I have a Roamio OTA in my main room and have a Mini version 2 coming today that I will have in the kitchen. Can I use 1 remote to send the same commands to both tivos at the same time? Preferably a RF signal to the mini and IR to the Roamio OTA.

I like to watch replays during sports and want to be able to have my secondary tv mirror the main.

Thanks for any help