I can point you in the right direction, suzannek1. I'll drop some steps to show the details you want to pull under the Report section in QuickBooks Online (QBO).

We can get the straightforward details you need by generating a Transaction List with Splits report. 

Here's how:

1. Go to Reports.
2. Locate in the Search bar the Transaction List with Splits.
3. Click Customize.
4. Under the Rows/Columns, select Customer.
5. In the Filter section, check Transaction Type and select Billable Expense charge and Bill. 
6. Once done, click Run Report.

Moreover, would you mind elaborating more about what you mean by Accounting Code? This way, I can provide you with the best resolution. 

However, if you're referring to an Account, we can customize and select it under the Rows/Columns. I've added screenshots for your reference.

Additionally, you can customize your reports in QBO to easily view the transactions that you need the most.

You can also visit this page if you want to record payments for your bills. See the steps outlined here: Enter and manage bills and bill payments in QuickBooks Online. Or, pay multiple payments for bills. 

If you require additional support or have any remaining inquiries regarding generating reports, just kindly leave a reply. We're here to provide assistance whenever you need it. Have a good one!