First check your listing and review your tax collection settings. Make sure it is selected for Airbnb to collect this tax for you. If so, then all the tax collection, remittance and reporting is between Airbnb and the tax authority. If you absolutely need to have more control over this process, or if you have any doubt about Airbnb's remittance of the taxes, you may want to consider collecting the taxes yourself from Airbnb and remit them yourself, which you can do by setting up custom taxes in your Airbnb listing.
Keep us posted on what you end up doing. Cheers!