Your question states:
At Node.js github wiki page we have a list of CMS and static blog engines. Can you tell me which item of them comes with internal search modules, not Google Site Search like npmjs.org. I am interested in the implementation of Sphinx or Solr with Node.js for training purposes.
This is essentially asking people to go through a list of CMS, lookup their features and make you another list of the ones that contain a search.
IMHO, it is not a programming question, as you aren't really coding anything here. Stack Overflow is for help with programming problems. You are simply asking which CMSes contain a search feature, rather than something like "I'm using Foo CMS, and it has a search feature. However, I can't get this to work, due to Bar exception. Here is the log and the relevant code".
So really, your question is a product suggestion, not a programming question. This makes it off topic.