Hello there, @AcctnAsst.

I can provide additional information on how recording your payroll-related expenses works in QuickBooks.

To ensure payroll taxes and wage gross amounts are accurate when filling your returns, you can follow the steps provided above. However, since you're using a Third-party payroll services, you can write a check and choose Payroll Expenses account for accounting and bookkeeping purposes.

Here's how to write check:

1. Click the Banking Menu.
2. Choose Write Checks.
3. Enter the name of the employee and the amount.
4. In the Expenses Account section, choose Payroll Expenses account. 
5. Type in the description of the transaction.
6. Click Save and Close. 

Let me know if you have other questions about tracking your expenses in QuickBooks. I'm here to help.