What is the reaction equation when NaOH react with these compounds?

There is no reaction equation because there is no formula for these two materials. This is because they are mixtures of hundreds of compounds found in the egg, the most abundant of which is water.

Albumin is primarily a protein, and reaction with enough caustic theoretically could hydrolize the protein peptide bonds so that we are left with the constituent amino acids, in the form of sodium carboylate salts. However, proteins are usually hydrolized with acids such as HCl, which would leave the amino acids in the form of ammonium chloride salts.

Egg yolk is made up primarily of lipids (fats), which when reacted with NaOH, saponifies (base hydrolysis) the fats into the sodium salts of the constituent fatty acids.