We can do this with following workaround.
1)Create parameters for the 2 filters which you have.
2)Create a calculation with OR between parameters & Fields like
if (parameter1=Field1) or (parameter2=filed2) then 'True'
3)Use this calculation as Filter and select True.
Hope this helps you
Thank you, Hima. In my scenario, both quick filters are multi-select list-boxes, that are sourced from a long list of thousands possible values from the data source(see below), so I am not sure how parameters would work here.
I guess I can use a parameter to initiate a search, but I then need the ability to search against the list of valid values and let the user pick several values from the list, which is what the multi-value custom list control lets me do.