QB Issue Resolution:

Go to Lists -> Customer & Vendor profile lists -> Terms List. Open it. Find the term you need and double click on it. Now, put 10 (or the desired amount of days) in “Due the next month is issued within ____ Days of due date. It will solve the problem.

Resolution for Issue 'Bills with dates of 04-01-15 (for example) and w/due date of 10th are showing due the 10th of the same month instead of the following month.' available: Yes (Solved).
Source: Intuit Community forum.

Bills with dates of 04-01-15 (for example) and w/due date of 10th are showing due the 10th of the same month instead of the following month.: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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