The Filter on the Online Donation Forms page is not sticky. The Filter needs to stay selected during pagination at a minimum. If there are 3 pages of forms, you should be able to select "Processing transactions", click to page 2 and only see forms that are "Processing transactions". Then click to page 3 or back to page 1 and still only see forms that are Processing Transactions.

I would like to have it be a default so I don't have to pick it each time. I don't ever need to see Closed forms.