Probably not something you want to hear, and I don't even know specifically if this will help but it sounds like it from other Yongnu owners...
The RF-605 units from YongNuo do both flash and shutter triggering, even to the point you can just shoot your main camera and it triggers other cameras and flashes. I believe they do sync up well, and are very inexpensive.
One X1RC unit is $40, but for $33, you get 2 transceivers, and both types of Canon cords. The RF-605 can act like the RF-602 and the RF-603, it has emulation modes. I went this route for a different reason, but I think these units used in conjunction with Godox might get you where you want to be? It would take a bit more research though to verify.
I didn't want to mix systems, but until Godox starts to consolidate their different functions that exist across their different units in one form or another, I am not sure there is a choice.
Dpe or Elv or others may have different ideas on how to get Godox units to do this sync better though with mixed shutter releases and flash triggering.