This video is a complete walkthrough and tutorial covering the game mechanics and objectives in Axion. There is also a guide here. I recommend using the guide. It is accessible via the Steam overlay during the game and provides guidance without spoiling anything. This video is meant for when you are stuck and cannot figure out what to do. The video can also serve as a means of viewing what content is in the game if you are thinking about purchasing Axion. If you have purchased Axion and have not been able to really get into the game and experience the content, this video will serve as a shortcut helping you to bypass the learning curve.
https://www.youtube.com/watch?v=YZt42eTfSjg