This is very detailed information, but I want a report that connect Vendor BILLS with Vendor payments applied to them. The point of this report would be to see which bill payment checks are applied to which bills so that it is easy to correct mistakes without having to manually open every single bill and bp check to figure out what happened.  Also, I need this report in QB desktop; I can't stand QBO and use it as little as possible.  

It's very misleading for QBO to call a customer report "bills and applied payments" when all QB products designate that bills are for vendors and invoices are for customers.  (So maybe the name of that report in QBO needs to be changed....)