I'm making a smash cake for a party this weekend and the mother just told me she wants an egg free cake due to allergies. I've been experimenting today and not having much luck. I'm not sure what I'm doing wrong. I've tried a recipe which used a mixture of oil, water, and baking powder to replace the egg. I baked it at the temperature and time in the recipe. It didn't seem quite done so I ended up baking it until the outside was getting pretty hard and finally the toothpick came out clean. When I cut into it, though, there was a big ball of gooey dough in the center. I was using a 6 in cake pan that was for a 3 in thick cake.
Next, I tried to make a cake using a Funfetti cake mix and Sprite. I had done a chocolate cake mix and Coke before just for fun and liked the results. I just wanted to see what this would do. I cooked the cake at a slightly lower temp. It again seemed like it was done baking; I let it go longer and it didn't have as hard of an outside due to the lower temperature. It seemed firm until cutting into it and it was extremely doughy. I'm baking these cakes beyond the amount of time I normally bake that size cake and they are coming out half baked inside.
Any ideas or a go to recipe for egg free vanilla cakes?