Protein sources that are not complete don't need to be mixed and matched in any specific fashion. Those depending solely on non-complete proteins just need to make sure they eat a variety and not try to get all their protein from one source. They don't need to eat specific esoteric combinations or even to ensure they cover all the essential amino acids in a single meal.

Eggs - and also milk - are both complete protein sources, so it can be as simple as eating them as part of a wider diet if they are not restricted.