Good day, info836.
Changing the VAT report to show the receive payment date isn't an option for now. The report will show the figure according to the invoice since the payment doesn't have a VAT option and is only showing the total amount.
You can visit this link to learn more about customising your VAT report in QuickBooks Online: Customise reports in QuickBooks Online.
Additionally, in case you want to know some "How do I" steps in QuickBooks Online, you can always visit our Help Articles page for reference.
Drop me a comment below if you have any other questions about VAT reports or while working with QuickBooks. I'll be happy to help you out. Wishing you and your business success.