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sensors.yaml:
binary_sensor:
  - platform: template
    sensors:
      button_color:
        value_template: >-
          {% if states['input_boolean.button1_boolean'].state == 'on' %}
            on
          {% else %}
            off
          {% endif %}

UI:
type: custom:button-card
name: Lights
icon: mdi:lamp
layout: icon_name
entity: my_button_1
data: {}
tap_action:
  action: call-service
  service: input_boolean.toggle
  target:
    entity_id: input_boolean.button1_boolean
card_mod:
  style: >-
    const state = states['binary_sensor.button_color'].state;
    this.style.backgroundColor = state === 'on' ? 'red' : 'auto';