Unfortunately, Memorized Reports from QB Desktop will not convert to QBO. You will need to recreate the reports in QuickBooks Online and memorize them again.
To get the report you'll need, you can run the Invoice and Received Payments then select the specific period from the drop-down arrow. This will give you the list of payments from a certain period and the invoices that the transactions were applied to
Go to the Reports tab.
In Type Invoices and Received Payments in the search field. Or scroll down then go to the Who owes you column.
Select a date in the Report period field.
Click the Customize to filter the report.
Hit Run report.
You can also open the Transaction List by Customer report and filter the Transaction Type to Invoice and Payment.
In case you want to memorize the report, just click the Save customization at the top-right corner. Then, you'll see it under Custom reports. For more details, click this article: Memorize reports in QuickBooks Online.