You normally search using the suburb’s name. Airbnb selects a relative map area to show all listings in that restricted map area.
Unfortunately, Airbnb does not show the actual suburb as known by the locals or how the city demarcates it.
When you don’t see your listing, view the Airbnb map. You would probably notice your home is outside of the area Airbnb selected for your suburb.
Adjust the Airbnb map and click on Search This Area. Now your listing should show.
Can you change this? No, unfortunately Airbnb only uses your actual address to create the map via Google maps and it prefills the address field as you type.