How to display nodes on front page with Search API? I have installed the Search API, Facets API, along with Search Pages.  When the user goes to the front page, I want to display some default node results.  How can I do this with just the node results for a particular view mode, without the user setting filter criteria?
I have very good experience in search api and the easiest way to display the search results is use module search_api_views (included into search_api).

Just create view for your search api index and select there required view mode and filtering criterias. Put this view on your front page and it will work.