Ergonomy: changing of Search criterion coming back from facets to the main Menu. Not possible without Browsing

[Hippodamie]

Dear Magdalena,

could we have an improvment when we search for a Base, then search through facet, then come back to main menu to search for a Name. When we do those kind of successive searches, it seems it is not possible to link them, since we arrive on a screen with the last change asked but no result coming anymore, like screenshot:

It is possible to improve that?
Thank you very much,
all best,
Sophie