Why does the VAT report that shows transactions without tax not show expenses that do not have VAT on?

I'll help you with the report showing the expenses that don't have VAT, @VdPSAR. 

The VAT report is intended to show sales transactions. We can pull up a VAT Detail Report and customise it according to your preference. Doing so will give you the customisation of the report you wanted to pull up. 

Here's how: 

1. Go to Reports.
2. Enter VAT Detail Report in the search box and select it.
3. Customise the report to your preference including the date range. 
4. Once done, click Run report.

Additionally, you'll want to check this article and learn how to close your books and prevent changes to past transactions: Close your books in QuickBooks Online.

I'll be available in the comments if you need further assistance managing your reports. Have a good one.