Thank you for posting in the QuickBooks Community. I'd be glad to help share some information about the payee name associated with each payroll tax liability payment.
When you create a payroll item, you can assign the tax agencies as the payee however they may also be a bank or an insurance company. It's possible that the Florida Dept of Revenue was entered as the name of the agency on the Federal Unemployment item. If so, it'll not affect the payment, and you can change it on the Payroll Item List to use the correct agency on your next payments.
Let me guide you on how to verify and change the payee name:
From the Lists menu, select Payroll Item List.
Double-click the Federal Unemployment item.
On the Edit payroll item window, click Next.
From the Enter name of agencyto which liability is paid drop-down, select the payee (vendor).
Click Next until you can click the Finish button.
If you don't see the name of the payee, click < Add New >, and enter the agency's information.
I've also added an article for additional reference: