01 - Combine flour, sugar, yeast, and salt in stand mixer bowl. Mix briefly to distribute evenly.
02 - Add eggs and lukewarm milk to dry ingredients. Mix on low speed until rough dough forms.
03 - With mixer on medium speed, add butter one cube at a time, fully incorporating each piece before adding the next. Continue kneading for 8–10 minutes until dough is smooth, elastic, and pulls away from bowl sides.
04 - Transfer dough to lightly greased bowl. Cover with plastic wrap or damp towel. Let rise in warm place for 1–1.5 hours until doubled in size.
05 - Punch down risen dough. Divide into 12 equal portions and shape each into smooth, taut ball.
06 - Arrange balls in greased 9x13-inch baking pan or on lined baking sheet with slight spacing. Cover and let rise 45–60 minutes until puffy and nearly doubled.
07 - Preheat oven to 350°F.
08 - Whisk together egg and milk for egg wash. Gently brush tops of risen rolls.
09 - Bake for 18–22 minutes until deep golden brown and rolls sound hollow when tapped.
10 - Cool in pan for 5 minutes before transferring to wire rack. Serve warm or at room temperature.