ESPeasy - HA to MQTT two way data exchange and regular update

Configuration
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1

Hi,
I’ve used ESPeasy(SONOFF) to have a simple thermostat. Works great as a standalone device. I have connected it to HA over MQTT broker. Reads temperature very well.
The issue is with controlling the START and FORCE variables.
When I configure it as a switch in HA, I can turn START variable in Easpeasy without any problems. When I change the state in ESPeasy it doesn’t updates the state in HA. It seems like the setup works one way.
Question: what is the best approach to have updates in synch. Is it “MQTT import” or “Dummy Device” or something else ?

Example of my configuration below but I have tried many others:

switch:
  - name: "Summer mode"
    command_topic: "home/ESPeasy_switch_2/Summer_mode/Start/cmd"
    state_topic: "home/ESPeasy_switch_2/Summer_mode/Start/status"
    payload_on: "TaskValueSet,4,1,1"
    payload_off: "TaskValueSet,4,1,0"