OK you seem to be stuck on Calabai Yau metrics, in that you are trying to work it into current cosmology applications. Nothing particularly wrong with that in and of itself. After all its always good to explore alternate possibilities. However this forum does have some strict rules on personal theories. Also as your title states "cart before the horse" perfectly describes the approach your using.
I would if I was in your shoes, study what is commonly accepted in current cosmology first,
the cosmology101 link in my signature has a few articles to get you started. However I would also recommend buying a copy of either "Modern Cosmology" by Scott Dodelson or "Introductory of Cosmology" by Barbera Ryden.
Both books are excellent the first one deals more with perturbation theory aspects, the second book has one of the best geometry coverages of the FLRW metrics.
Learn what is commonly accepted first, then study what is involved in Calabai Yau metrics and what it really means. Instead of trying to individually fit your own conjectures into a specific model.
For one thing string theory deals primarily with the quantum level. This includes the Calabai Yau model. However if shown to be accurate and true can have implications on the macroscopic universe
I would ALSO spend some time gathering a good understanding of string theory as well as the Calabia Yau model.
here is one article that may help in that regard by Brian Greene
http://arxiv.org/abs/hep-th/9702155
but other good articles include
http://arxiv.org/abs/hep-th/9309097
www.cirm.univ-mrs.fr/videos/2006/exposes/17w1/Ginzburg.pdf
Once you understand the metrics involved, it will be easier for us to specifically help you