I never saw any reason for the egg whites, and do it this way
Honey Roasted Nuts
two cups Pecan halves
Two cups Walnut halves
one stick French Butter, melted
Honey, about a quarter cup
add the honey to the melted butter. Pour over the nuts in a bowl, and mix well.
Roast at 275F for 45 min, turning every 15 minutes
Spread on paper towels over a cooling wire rack. Sprinkle liberally with Kosher salt. Cool and store.
OR............
One pound Pecan halves
One Pound Walnut halves
1/2 pound Cashew nuts
One stick butter
1/4 cup honey
same procedure