The characters on the picture (though incomplete) say qiézǐ pídàn, the first word meaning eggplant, the second century egg.
I have not found a recipe specific to this, but for the aubergine maybe you could have a look at the (usually cold-served) steamed aubergine dish called liángbàn qiézǐ (凉拌茄子), and then top it with the century egg ?