I run out of eggs frequently and these are some options when you cannot just run down to the local store.
http://prepperswill.com/top-six-effective-substitutes-eggs/There are good descriptions of how to use these in the article:
1) Applesauce
2) Banana
3) Ground Flax Seeds
4) Tofu
5) Water, Oil and Baking Powder
6) Bean Liquid (from commercially canned beans. Home canned may not have the same liquid).