Matter only provides the very basic controls. You should get Auto, Heat, Cool, and Off for modes along with the ability to adjust the set points.
I’m pretty sure this is not available via Matter. I’ve got the newest 4th Generation Learning Thermostat and it’s not available via Matter when connected to Apple Home. If you want full functionality like the Google Home app, you’ll need to look into [RELEASE] Google SDM API - Nest integration.
