Welcome to the Community. I'm here to help you run the VAT report with the supplier's TIN no in QuickBooks Online.
You can customize the report by adding the VAT Registration No. of Supplier in the column. Here's how:
Go to Reports.
Choose VAT Detail Report.
Tap Customize Report.
Put a checkmark to VAT Registration No. Of Supplier.
Hit Run Report.
If the VAT no. is unavailable after following the steps. I recommend performing troubleshooting steps to isolate this issue. You can try using another browser or a private window. Unexpected issues in QuickBooks are sometimes affected by the amount of data stored in the cache. This is because the regular browser will constantly overwrite itself and will remove history unless done manually.
The incognito mode will not save any history, so it's a great place to identify issues in the browser. Use these keyboard shortcuts to launch a new private window: