Integrating Liquibase with existing production database

I am trying to switch to Liquibase and to release an update/ patch to an existing production database.  The current production database is not Liquibase aware.

 

 I have got the Liquibase change Sets for the current upgrade/patch. How do I apply this to the existing production database. 

Can anyone post some light on this question? It is exactly what I am trying to do as well but fail to do because the existing database has data as well as it is non-liquibase aware.