It's not you, some babies just have a strong preference for mom and/or reject the bottle entirely. You're not doing anything wrong. You just have a picky baby who will eventually grow out of this phase, but I imagine right now it's really hard because you're her daddy and you love her. You're a good dad, she just has a different personality than your son did at this age.
You might try wrapping her in one of your wife's shirts or even have your wife sleep on one of her blankets at night to pick up the scent. Sometimes babies can find that comforting. Other than that, try to stay calm (put her down somewhere safe and walk away for a few minutes if you get too frustrated) and try different things. Mom's tricks may just never work for you, so try some new things and see what happens. Fortunately she's getting into the age where she can start interacting with bouncers, toys, etc, so the more she gets into that she may eventually become calmer on her own.