SId Meier's Starships takes place many years after the conclusion of your game of Civilization: Beyond Earth . Over this period of time, each Sponsor's leader and the Affinities - Harmony, Supremacy and Purity - guiding their progression have evolved dramatically. This not only plays out in the look of each leader, but also in the way your fleet operates in Sid Meier's companion game, Starships.
To help illustrate the hard work put in by the game artists as well as help paint a picture for how these two games are tied together in the same universe, the Beyond Earth and Starships teams synced up to produce a piece on the Civilization.com blog. Give it a read!
http://www.civilization.com/en/news/2015-01-from-beyond-earth-to-starships-leader-affinity-evolved/