Unfortunately, if you don't share the evidence, we have no way to help you find out what is wrong. 
- What have you configured? Which config file? With what detail?
- Share the logs with error messages and use code fences to make detail visible.
- Do you have other MQTT devices that work? (e.g. is this an aircon specific issue)
- Can you connect the binding to the broker?
- Can you see the topics you expect to be published into MQTT using a MQTT tool
- Is this a data transformation issue, extracting JSON values from MQTT topics using a value_template?
For generic MQTT broker, integration, and test tool help, this previous post may help you:
If this helps, 
this post!