01 - Combine warm milk, water, and yeast in a large bowl or stand mixer. Let mixture sit for 5 minutes until foamy and activated.
02 - Add sugar, melted butter, eggs, and salt to the yeast mixture. Mix on low speed until thoroughly combined.
03 - Gradually incorporate flour while mixing. Knead dough for 5 to 7 minutes until smooth, elastic, and slightly tacky to the touch.
04 - Transfer dough to a lightly greased bowl, cover with plastic wrap or damp towel. Let rise in a warm, draft-free area for 1 to 1.5 hours until doubled in volume.
05 - Punch down risen dough and roll out on lightly floured surface to 1/2-inch thickness. Cut into 4 by 1.5-inch bars using a sharp knife or dough cutter.
06 - Arrange cut bars on parchment-lined baking sheets, leaving space between each piece. Cover and let rise for 30 to 40 minutes until noticeably puffy.
07 - Pour vegetable oil to a depth of 2 inches in a heavy-bottomed pot or Dutch oven. Heat to 350°F, maintaining temperature throughout frying process.
08 - Fry bars in small batches for 1 to 2 minutes per side until golden brown. Remove with slotted spoon and drain thoroughly on paper towels.
09 - Whisk powdered sugar, maple syrup, milk, vanilla extract, and salt until completely smooth and free of lumps. Consistency should coat a spoon evenly.
10 - While bars are still slightly warm, dip tops into glaze and allow excess to drip off. Place glazed bars on wire rack to set completely.