Cook the asparagus in a small amount of water until crisp-tender, drain well.
Combine the cheese and the breadcrumbs on a plate.
In a shallow bowl, stir together eggs, salt and pepper sauce.
Dip each asparagus spear in egg mixture and roll in crumbs to coat well.
Chill 20 minutes.
In a skillet, heat butter and oil on medium-high heat. Brown the spears in a single layer, turning carefully.
Remove and keep warm while browning the remaining spears. Serve with additional Parmesan cheese.