I have the same setup, Nest 3rd Gen with two sensor pucks.
I don't think any HE integration supports the sensors, I wish there was a way to bring them into HE, possibly with Node-Red but I have not gone down that path yet.
This is the integration to use, the setup of it is a little daunting but the author has good docs (on GitHub) so if you can follow instructions it is not that bad.
I mostly use it just to track and see the thermostat in HE. Since the Nest is mostly a self contained smart system on its own, I let it do its thing using the schedule we put on it with manual adjustments as needed for comfort.