Eggplant Supreme

My eggplant supreme has put on more flowers. The previous few purple flowers withered and died without producing any eggplants. I suspected it was due to pollination problems. Closer examination of the plant today revealed caterpillar presence. And I even found a cocoon under one of the leaves. After a few days in a jar, it turned out to be the same moth which I caught some time back :

From the look of the flowers, it seem that when the petals are bent backwards, they are ready for pollination. I read somewhere that this happens for tomato flowers. Eggplants and tomatoes belong to the same family. I have noticed that the eggplant produces two types of flowers. One with a centre thingy which I believe is the female part (stigma). The yellow parts are the male parts or anthers where the pollen are stored. I remove one anther at a time and peel it gently (it is very delicate) to reveal the white pollen which flies off fast in the breeze. I would dap this onto the female part. Hope that this works to produce eggplant since I read that bees are not attracted to eggplant flowers :

Flower with yellow anthers and a centre (which I think is the female stigma)

The other flower is similar except that the centre part is either non-existent or very deep inside and tiny. This flower cant seem to be pollinated and I am not sure what it is for :

Flower with yellow anthers but no centre or stigma.