Hello Viktor,
Sorry for late reply to this,
Correct me if i getting wrong meaning on your first post,
Yes, it is possible to create a smart search module to search the Joomla article and blog post from Easyblog.
Step 1 : GOTO > backend > Module manager > Click "NEW" > Select "Smart Search Module" > set "published" and select "which page you want it to show"
Step 2 : Download the "EasyBlog smart search plugin" from this side (
http://stackideas.com/downloads/plugins/easyblog )
Step 3 : Install it and enable that "EasyBlog smart search plugin"
Step 4 : GOTO > backend > Component > Smart search > Click "Index"
Step5 : Completed.
Hope this help.