Thanks for getting back, @Suzi.
I'm here to help share some clarification about using the automated sales tax in QBO.
We don't have the option to correlate the vendor's check created to the due payment in the Sales Tax Center. You can only make the payment through the sales tax center and it will only print the information for the tax agency, payment made, payment date and bank account.
I've tried going to the register, however, there's no way to add a reference number or memo for the sales tax payment. I've attached a screenshot below for my sales tax payment sample.
Should you need some helpful references in the future, please feel free to visit our site: Help articles for QuickBooks Online.
Let me know if you have additional questions about using the automated sales tax. I'm here to help however I can.