You've got me here to provide clarifications on why you're unable to find the Supplier Transaction Detail Report in QuickBooks Online.
At this time, there isn't a specific report that contains the supplier's transaction details. The system only provides the Purchases by Supplier Detail and Transaction List by Supplier.
However, if you want to pull up a report that contains transaction detail of your suppliers by the account you can run the Transaction Detail by Account report and customise it with the supplier's data.
To do that:
Click on Reports at the left pane.
Look for Transaction Detail by Account in the search box.
Select the Report period.
Hit on the Customise button at the top.
Tick on Filter.
From there choose the necessary data that you need to pull up your suppliers transaction detail.
Tap on Run report at the bottom.
Here are great references that you can scan through about the available reports in the system together with some tips on how to customise them:
I'll be right here to assist you further if there's anything else that you need, @ramarao-kodabath. Just leave a reply below and we'll take it from there. Keep safe!
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