Add warm water into stand mixer bowl. Stir in yeast and allow to hydrate for 5 minutes. Add eggs, oil and honey to yeast mixture. Using a paddle attachment, stir to combine.
In a separate bowl, add all remaining ingredients. Whisk to thoroughly combine.
With the mixer on low speed, gradually add dry ingredient mixture to mixer bowl; mix until all dry ingredients are well blended. Beat on medium speed 5 minutes.
Grease hamburger bun cups or English muffin rings and place on greased baking sheet or baking sheet lined with parchment paper. Spoon batter into cups/rings; smooth tops (wet finger tips and smooth dough). If desired, score tops of dough with an X using a sharp knife. Cover; allow to rise approximately 30 minutes.
Preheat oven to 375ºF. Bake for 15 minutes, or until tops are golden brown. Cool on rack. Remove from rings after 10 minutes.