Lavanya, I had great success (during more than 20 yr as a vegetarian) using pureed soft tofu instead of eggs in most baking (same volume, 2 oz tofu for every large egg), including most cakes. However, I do agree with Joanna's earlier comment that substitutes for egg wouldn't work well in this flourless pecan cake, because it's so stripped down in its number of ingredients and dependent on the eggs. Suggest you find a more conventional cake recipe where the replacement can work, for example for Thanksgiving, a butter pecan layer cake or coffee cake https://www.theflavorbender.com/bourbon-butter-pecan-cake-brown-butter-maple-frosting/ https://www.allrecipes.com/recipe/49001/amazing-pecan-coffee-cake/
Because whipped egg whites are critical to the structure of this cake, I wouldn't advise subbing in flaxseed meal. I know these aren't quite the same, but here are a few of my favorite vegan desserts that you might like!
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However, I do agree with Joanna's earlier comment that substitutes for egg wouldn't work well in this flourless pecan cake, because it's so stripped down in its number of ingredients and dependent on the eggs.
Suggest you find a more conventional cake recipe where the replacement can work, for example for Thanksgiving, a butter pecan layer cake or coffee cake
https://www.theflavorbender.com/bourbon-butter-pecan-cake-brown-butter-maple-frosting/
https://www.allrecipes.com/recipe/49001/amazing-pecan-coffee-cake/
Because whipped egg whites are critical to the structure of this cake, I wouldn't advise subbing in flaxseed meal. I know these aren't quite the same, but here are a few of my favorite vegan desserts that you might like!
https://food52.com/recipes/31694-no-bake-pumpkin-pie-bars
https://food52.com/recipes/39132-ovenly-s-secretly-vegan-salted-chocolate-chip-cookies
https://food52.com/recipes/59529-anita-shepherd-s-vegan-chocolate-birthday-cake-with-super-fluffy-frosting
https://food52.com/recipes/81789-vegan-gluten-free-brownies-recipe