QB Issue Resolution:

Try Web Connect to get the rest of the transactions:

Intuit Web Connect
1. Classic Version (tabbed menus)
2. New Version (Gear located in upper right)
To access web connect:
Select Transactions from the left menu, then Banking
Once you are on the Downloaded Transaction screen, use the hot keys:
CTRL + ALT + U (Windows) CTRL + OPTION + U (Mac)

Resolution for Issue 'Downloading transactions before the last import date.' available: Yes (Solved).
Source: Intuit Community forum.

Downloading transactions before the last import date.: 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.

Support for Import
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Error Recovery for Import [Canada]
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