Hey rjhrrs19,
I'm glad to see you're taking advantage of QuickBooks Online to keep a complete history of your payroll. Our payroll systems offer exceptional reporting features and provide a convenient way to have a copy of your data in the cloud. To ensure we always provide accurate calculations based on the appropriate tax tables, the best way to record a pay run in prior years is to create it manually with a journal entry. You can set this up as an unscheduled recurring transaction, making it easy to create a new one at any time. Check out this great article to learn how: Record payroll transactions manually
Let me know how this goes! This is a great way to enter historical payroll expenses and liabilities.