It is not about the cover letter or your resume, it is about you. Learn how to tell your story through writing, or explain it properly. The rest will follow. The secret of a well-written cover letter is to learn to write well. The secret of an interesting resume is to have done interesting things. So do interesting things and learn to write about them.
I believe the format how any story is presented is not as important as the content of it. You are the one that know it better than anyone. And you are the creator, the main character of that story. Now, go and tell it, do not be shy. If you find the right listeners, they will be engaged. If they are not listening, then go and look further.