Not a vegan, but I like beans and lentils. A cup of cooked lentils has 18 grams of protein and 230 calories. So to get 60 grams of protein, you'd have to consume 3.3 cups of lentils, or 766 calories.
Not suggesting that you do that, but seems like if you have the equivalent of about 1/2 of lentils or similar beans/legumes per meal, that would be about 500 calories and half your protein. As long as the rest of your food has some protein, wouldn't you get to your protein target?
And according to this (
https://www.livestrong.com/article/110563-nutrition-cup-egg-whites/), "It takes seven to eight large eggs to produce 1 cup of egg whites, for a total of 126 calories and 27 grams of protein." Are you really eating that many eggs? A single egg white has about 4 grams of protein, so if you're just having a couple, it's not that much different than an equivalent amount of legumes.