I am also trying to lose extra pounds I have accumulated since a car accident nine years ago. I am trying to increase my protein intake. There are 3.5 grams of high biological protein in one egg white. The yolk has 2.8 grams of protein. Egg substitutes are basically egg whites.
Egg protein is the standard of quality protein to which all other proteins are compared.
Keep up the strength training. You need 1 gram of protein per kilogram of body weight. Some people, during a training period, increase that to 1.4 grams. There is no real need to go further. If you do not eat enough calories, the extra protein gets used as energy.