Designate one hand as your “wet hand” (for the eggs) and one as your “dry hand” (for the breadcrumbs). Using your wet hand, drop some cauliflower pieces into the egg mixture and coat them evenly. Shake off any excess egg, then drop the coated pieces into the breadcrumb mixture. Using your dry hand, sprinkle some breadcrumbs on top and roll them around until evenly coated. Transfer the coated pieces to the prepared baking sheet and repeat with the rest of the cauliflower (when you run out of breadcrumbs, use the second bowl—this keeps the crumbs from getting too soggy).