Welcome to the Community. I'll take care of this concern about data migration for you.
Intuit Online Payroll (IOP) and QuickBooks Online (QBO) are separate applications, which is the reason for their different interfaces. For the same reason, the migration process has limitations as well. What I can suggest is for you to visit our QuickBooks Apps Store. You can look for a third-party app that can move those contractor payments from IOP to QBO.
See this article for additional information: Payroll tasks: Resource hub. It's a list of related articles to get started in QBO Payroll.
Post a reply if you have other questions about your payroll service. I'll be around to help you out. Have a pleasant day!