Thanks for dropping by the Community forum. I'm here to share information and guidelines for your concern about exporting payroll data from your QuickBooks Online to QuickBooks Desktop.
When you move data from QBO to QBDT, some data and history may not transfer smoothly. You can transfer financial data such as transactions, accounts, and balances. Moreover, know there are some limitations, such as your payroll data. For detailed information, refer to this article: Learn how features and data move from QuickBooks Online to QuickBooks Desktop.
For future reference, you might want to check out this article to learn how to use QBDT: Get Started with QuickBooks Desktop.
Feel free to post here again if you have further QuickBooks-related concerns. We are available 24/7 to lend a hand with each of your queries. Stay safe!