Right now, the option to have the VAT filling date shown in the report isn't available. I understand how the workflow you're looking for is beneficial to your business. In the meantime, what you can do is we can go to the Taxes then select VAT. Then from there, under the paid returns, you can see the VAT file date.
Through our Feedback board we can pass a request here about this feature. I want to let you know that your voice matters, and each update our developer team creates are considered that it benefits our customer's business.
You may also want to visit our QuickBooks Online Feature Requests site to track product requests submitted for the program.
In case you need tips and related articles in the future, visit our QuickBooks Community help website for reference: QBO Self-Help.
Please know that I'm just a post away should you have any other questions concerning QuickBooks. I'd be pleased to help you out. Take care!