How exactly have you added your Tasmota flashed Sonoff ZBBridge to Home Assistant?
When you write “ZHA”, do you mean “ZHA” as in? -> https://www.home-assistant.io/integrations/zha/
Did you do this? -> https://www.digiblur.com/2020/07/how-to-use-sonoff-zigbee-bridge-with.html
Very confusing when you are still talking about MQTT in the ZHA subforum as ZHA doesn’t use MQTT.
It might be confusing because ITead sells a lot of Sonoff branded devices that are WiFi based (which can run Tasmota firmware) and now also sell a few Sonoff branded devices that are Zigbee based.
ZHA and ZBBdrige only support Zigbee devices -> https://www.itead.cc/search/result/?cat=&q=zigbee
Even more confusing because Tasmota on Sonoff ZBBridge can use itself add Zigbee devices without ZHA and act as an MQTT gateway for those, but then your Sonoff ZBBridge is not controlled by ZHA.
Do not mix up ZHA here with MQTT as in Zigbee2Tasmota -> https://tasmota.github.io/docs/Zigbee/
Yes they are totally different things that have really nothing to do with reach if you use ZHA.
You are now posting the the ZHA subforum, as in -> https://www.home-assistant.io/integrations/zha/
ZHA is Home Assistant’s native Zigbee implementation that adds Zigbee devices directly by simply having a direct-attached Zigbee coordinator, so there is no third-party gateways or hubs involved.
You can use Sonoff ZBBridge with Home Assistant’s ZHA with by flashing it with Taslmota and using it as a serial bridge to simply allow ZHA to connect to the Zigbee coordination remotley as if it was local.
Same principle as -> https://www.zigbee2mqtt.io/how_tos/how_to_connect_to_a_remote_adapter.html