In a small bowl, combine warm water (100-110°F) and 1 tablespoon sugar. Sprinkle yeast over the top, stir until dissolved, and let sit until foamy, about 5-10 minutes.
In a stand mixer bowl, combine 4 cups of einkorn flour, the remaining sugar, and the salt. Briefly mix with a dough hook 30 seconds or just until combined.
Add melted butter, proofed yeast, eggs, and milk to the dry ingredients. Mix on low until just combined—the dough will be wet and loose.Overworking is the number one cause of einkorn recipe failure. Remove the bowl from the mixer, cover with plastic wrap or use a proofing bag (I love these), and let rise in a warm, draft-free spot until 60% risen, about 30-40 minutes.
Return the bowl to the mixer, add the remaining 2 cups flour, and mix until the dough forms a soft ball.
Transfer the dough to a lightly floured surface, gently flatten it, and fold it onto itself 5-6 times to build structure.
Shape the dough into a large ball, place on a floured surface, cover loosely with plastic wrap or proofing bag, and rest for 20 minutes.
Divide the dough into 16 pieces, shaping each into a smooth ball by pinching the seams underneath.If you want larger rolls, you can divide it into fewer pieces. Arrange the balls on a parchment-lined baking sheet. Cover or put into a proofing bag and let rise until nearly doubled, about 60%, should be about 40 minutes.
Preheat the oven to 375°F during the last 10 minutes of rising, then bake for 25 minutes or until golden brown.
Cool the rolls on the pan for 5 minutes before transferring to a cooling rack or eating.
Serve warm.