Theory about the origin of the PROJECT initiative
THIS IS MY VIEW ON WHERE I BELIEVE THE PROJECT UNIVERSE ORIGINATED FROM, AND WHAT THE LORE LOOKS LIKE, WATCH THE VIDEO
_______________________________________________--
What we know:
- There is a connection between the Battlecast skins and the PROJECT skins, we've seen this from Battlecast appearances in background of PROJECT skins
- If there's a connection there, than there is a connection with Viktor
- Viktor wants to turn everyone into emotionless machines stripped of their humanity
- The PROJECT skins take place far into the future
- Jayce lives to defend against Viktor and his Evolution
- Jayce has created "The Resistance" a team that fights against Viktor and his Evolution to preserve humanity
- Ashe says this: "We aren't weapons, we're human beings. So long as you refuse to obey... You are a human."
- Ashe also says: "Join the Resistance!"
- Jayce's current faction on his wiki is set to "The Resistance"
So what can we deduce from this? Well it sounds like in the future, Viktor and his "acolytes" are able to accelerate the Glorious Evolution and gain the upper hand. Creating an army of fighters that do his bidding. They are in essence weapons to Viktor's "Glorious Evolution", and the only thing standing in his path is from complete control is "The Resistance."
It is however possible that Jayce is no longer alive in this future universe, and that "The Resistance" is made up of those who believed in Jayce and his cause. It is believed that the Battlecast skins were the first edition to Viktor's Evolution, a rough sketch to be exact, and the PROJECT skins are the final product, the final version of Viktor's creation. The final set of weapons that will help him achieve his goals. There are however those who held on to their humanity. Ashe leads the way as the PROJECT Rebel Leader, stating that "so long as you refuse to obey, you are a human."
More info found here that further connects everything:
http://leagueoflegends.wikia.com/wiki/The_Evolution
tl:dr
~~ Jayce~~ 
Ashe (The Resistance) vs. 
Viktor (The Evolution)
(Jayce may or may not be alive, though it is believed that he is dead, or at least missing.)
