Let me share details about why you're unable to see my bank on the list to connect account in QuickBooks Online (QBO).
When you connect your online bank in QuickBooks, the transactions automatically download and categorise. This helps you to save time in updating your bank feeds. All you have to do is to review and approve them.
If your bank isn't searchable, this means it's not supported. There are also instances when a bank is searchable or supported, yet they don't provide connections for all account types. You can request support from your bank, but we can't provide a specific time frame on when it will be available.
Moreover, if you still want to add your bank transactions to your QBO account, you can download your bank transactions from their website and upload them to QuickBooks. You may visit this article for details and the supported file types: Manually upload transactions into QuickBooks Online.