AmeliaB80 without eggs.... If you have egg allergies you may:
In a cake, the eggs serve as a leavening agent, helping to make the cake light and fluffy. In baked goods such as cookies and muffins, the eggs add moisture and act as a binder, gluing all the other ingredients together. And, if you're looking to substitute eggs in a quiche or a mayonnaise, where eggs are central to the finished product, you'll probably need something like tofu to mimic the consistency of the eggs, while making other adjustments to the recipe as well to add flavor and body.
You can also use 1/2 of a banana or 1/4 cup applesauce
hope this helps you