@Candysue0 I did not find information specific to Suffolk County NY. The information that I shared is relevant to probably all jurisdictions that AirBnB (and other OTAs) have agreements with. AirBnB collects the taxes from guests and purportedly sends that money to the various tax agencies. However, it is sent using AirBnB's tax number, NOT the tax IDs of the individual taxpayers. When AirBnB started collecting the taxes for my State, County and municipality, they DID NOT ASK FOR my tax ID numbers, nor did they provide me with any report that showed the taxes were paid to my tax account with those agencies.
On the advice of my accountant, I continue to file monthly, quarterly and annual tax reports with all of the agencies that tax my rental income. Unless I have a direct booking and collected guest taxes myself, I report the taxes owed for the reporting period as having been collected and paid by AirBnB.