When you perform a search to pull back a set of results and perform an action such as matching on them, the screen refreshes and the original set of results are returned. You then have to perform the search again to return the set of data you wanted to continue to work with.
You should be able to use the pin icon on the search wizard to actually pin that search only for the duration that you are working on that set of searched data (matching, editing etc.). When the screen refreshes, the search results should still be returned until you hit 'Exit Search'. At that point your search criteria will be removed and your original subsection of data will be returned.