In bread machine pan, place the first 8 ingredients in order suggested by manufacturer. Select dough setting (check dough after 5 minutes of mixing; add 1 to 2 tablespoons of water or flour if needed)., When cycle is completed, turn dough onto a lightly floured surface. Punch down; cover and let rest for 10 minutes. Divide into 24 pieces; shape each into a ball. Place 12 balls each in 2 greased 8-in. square baking pans. Cover and let rise in a warm place until doubled, about 30 minutes. , For glaze, combine the sugar, butter, honey and egg white; drizzle over dough. Bake at 350° until golden brown, 20-25 minutes. Brush with additional honey if desired.