Thanks for getting back to us, @barocco.

I'll share some information about recording a third-party payroll in QuickBooks. Record your gross wages, taxes, and employee taxes by creating a journal entry that offsets your bank account and your payroll expense or liability account.

For your payments, you can create an expense or a check using the payroll expense. This way, you can keep track of all your payroll liabilities and expense transactions in both expense and liabilities accounts you've created for payroll. 

Please check out this article below for your reference: Create a journal entry in QuickBooks Online.

If you're done recording, you can run the Profit and Loss report to view your payroll expenses. Just go Reports and then enter "Profit and Loss" to see it.

Here's a link to know the different reports: Reports included in your QuickBooks Online subscription.

Please let me know if you still have questions or concerns with payroll expenses or payments. I'll be around for you. Take care and have a wonderful rest of the week.