Devices on Google home not refreshed in Smartthings

I’m just starting out with smartthings and have a couple of questions about linked devices and services.
If I turn a yeelight on with google home smartthings doesn’t sync to show the light is on? Same with Sensibo airconditioners.
If I switch a device in either GH or ST shouldn’t it change the state in the other?

Grateful for any help.

I use GH for all my lights and sockets and they all reflect their ON \ OFF sttatus in ActionTiles and ST immediately.

Sorry I can’t suggest much, as I have never faced this issue myself, but you could try telling GH to ‘sync devices’, that tends to fix minor issues for me.