Alright, this isn't so much a FanFiction as it is a suspicion about what the Twilight covers mean.
So, each of the covers had the same color scheme: red, white, and black. Except Eclipse, which only has red and black.
So my thoughts about the significance are as follows:
Twilight—the red apple in white hands. The red on this cover, which can also be viewed as something that has blood, is being held in something white, viewed as the vampire. In Twilight, Edward and Bella meet, Bella is nearly killed by James, but Edward saves her. The white hands on the cover of Twilight are catching the red apple, which may have been falling.
New Moon—the red-and-white flower with one petal falling away. Again, the white can be seen as Edward and the red as Bella. The one red petal is falling away from the rest of the white flower: Edward is letting go of Bella (not). But, as anyone can tell from the end of New Moon, Edward comes back, which could be why some of the white flower is still red. And (this is being added as an after-thought), the green stem could be showing that Jacob is holding Bella up, because there is one petal on the flower that has the whole underside of it green.
Eclipse—the red ribbon; tearing. Ok, a bit of deviation is always ok. There's no apparent white on this cover, except a bit on the ribbon. For the Eclipse cover, maybe Jacob was starting to come in more forcefully, causing Bella to be torn in two loves, even though she always loves Edward. That's about all I have on the Eclipse cover
Breaking Dawn—the chess set (or, rather, the white queen and red pawn). Back to white, red, and black. Now, obviously, the white queen (note the female term for royalty) is standing in the center of the cover with a red pawn a little ways behind it, but not where the queen can capture it. So if we go back to the red signifying something with blood theory, then the pawn could possibly be Jacob, the white queen—white signifying vampirism—can be seen as Bella, which means that Bella does go vampire, but somehow Jacob is still interfering with hers and Edward's relationship.
So, yeah. Those are my random thoughts that I had one night before I fell asleep. Who knows? Maybe I'm not so far off the marker!