Simple garage door rest and homekit

Configuration
1

Dear all,

I’m new to HA, I have my garage door controlled by a custom devices which exposes an http api.

the following configuration works in configuration.yaml:

switch:
  - platform: rest
    name: Garage
    device_class: switch
    resource: http://192.168.1.50/ha/switch/garage/
    body_on: '{"active": "true"}'
    body_off: '{"active": "false"}'
    headers:
      Content-Type: application/json
    verify_ssl: false

but the behavior is like a switch not like a door, meaning in homekit appears like a switch and I need to “turn on” the door rather than opening.

The status (quering http://192.168.1.50/ha/switch/garage/) is json back true/false, but ideally would like to use close/opening/open/closing.

I added a binary sensor and a cover, but not sure why I cannot see the cover in my entities:

binary_sensor:
  - platform: rest
    resource: http://192.168.1.50/ha/switch/garage/
    method: GET
    name: Garage Door
    device_class: garage_door
    value_template: '{{ value_json.status }}'

cover:
  - platform: template
    covers:
      garage_door:
        device_class: garage
        friendly_name: "GarageCover"
        value_template: "{{ is_state('binary_sensor.garage_door', 'true') }}"
        open_cover:
          service: switch.toggle
          data:
            entity_id: switch.garage
        close_cover:
          service: switch.toggle
          data:
            entity_id: switch.garage
        icon_template: >-
          {% if states('binary_sensor.garage_door') == "true" %}
            mdi:garage-open
          {% else %}
            mdi:garage
          {% endif %}

Can you please help me fixing this? I was looking many example but cannot make any work.
dk