Facilitate progress or process
I second what John said. You typically say "to facilitate the process" rather than "facilitate progress," but the two phrases have different meanings. If you were wanting to facilitate the progress of a system, goal or process, it may make more sense to use the term "expedite" or to assist the progress of a process. If you were wanting to permit or facilitate achievement or accomplishment towards a goal, you could alternatively use the action-oriented term "enable."