Service Portal search limit results on multiple portals

Hello!

My workplace is currently implementing a second esc portal. One demand that we have is to make sure that when the search functions are used the only results that show up should be the ones that exist on the current portal. But what is currently happening is that both portals is giving hits on everything.

Setup

Portal 1:

Has 5 knowledge bases

Contains multiple catalog items

Portal 2:

Has a taxonomy only

Is it possible to limit the search results to only things that exists on the respective portals?