Gardner - Thorpe D, O'Hagen C, Young I, Lewis SJ: Dietary supplements of soya flour lower serum testosterone concentrations and improve markers of oxidative stress in men. (westonaprice.org)
you might try substituting a bit of soya flour for the eggs. (thecoconutmama.com)
I had a friend who baked very successful vegan cakes using soya flour instead of eggs. (thecoconutmama.com)