I’m on a low-FODMAP diet too. I just use pumpkin puree to replace apple sauce and it works in 98% recipes. Does make things a bit orange though ;). Other substitution ideas that I’ve used in other recipes are sweet potato puree (use white sweet potato so it’s not orange), yoghurt (I make mine with coconut milk), banana puree, or I’ve used water or milk + a little ground chia or linseed (a bit like a watery chia or flax egg). Hope you find something that works for you!

The Great Cholesterol Con by Anthony Colpo. The definitive book on the non-dangers of dietary cholesterol and saturated fat was The Cholesterol Myths by Uffe Ravnskov, 2000. This book is six years newer. Its forward is by Uffe Ravnskov. To get a wonderful description of the book read the leading review at Amazon. The many reviews there average to 5 stars.

For immediate weight loss, Paleo is a great and healthy solution. But after carefully reading and considering, I’m unconvinced that Paleo is optimal for long-term health. I think, in fact, it might lead to heart disease and other ills associated with heavy meat consumption. Although many of Cordain’s theories fall apart long-term, I thoroughly enjoyed the read and highly recommend the book. You should read critically and decide for yourself.
I know that soy can cause inflammation and if you are not using soy free eggs, that could be part of the cause. It may not be the actual egg but the soy that is the problem. just a thought. Here is an article that has some interesting info on soy. http://articles.mercola.com/sites/articles/archive/2012/07/29/soy-effects-on-women.aspx?e_cid=20120729_SNL_Art_1