"To evolve the story" means to develop or progress the narrative or plot of a story over time. It involves adding new elements, events, or twists that enhance or change the storyline. Full definition
Only you know the full and complete evolving story of you, your brand and your company. (entrepreneur.com)
You will undoubtedly evolve your story over time, but employ our telecommunications and wireless CV templates as a reference as you develop a good first prototype. (resume-now.com)
Although both literary genres and myths themselves contain evolving stories, their usefulness in examining setting and character rests primarily upon their capacity to preserve abiding patterns of views and values. (religion-online.org)