Check out this free tool that will give you suggestions on how you can get better Facebook results.
It is called LikeAlyzer
This is a tool that looks at the activity on your Facebook page then makes suggestions on what you can do better to get the results you are looking for. When I put my page into the tool I get the following suggestions:
Try Promoted Page Ads to gain more likes
Write longer posts
Use more Call to Actions (e.g., like and share) in your posts
Publish more photos
Ask more questions to your fans
This tool will only work for Pages. I tried my personal profile and it errored out. I will be trying these suggestions (except for Promoted Page Ads) and see what the results are. I do not care of the number goes up (it is a scale from 1-100) but I want to get more user engagement. I will report back here in a month an let you know if there was any difference. I challenge you to do the same. You can leave your results in the comments below.