niroj What exactly do you mean by "the blinking animation is not functioning properly"? Please always describe your problems as precisely as possible, otherwise you will just receive more questions from our side instead of answers.
In general skeleton baking of an attachment-swapping blinking animation like the Doi skeleton is supported. We could also not reproduce any issue on our end, baking the Doi skeleton and playing the main animation on the Mecanim Base Layer and at the same time playing the blink animation on a second Mecanim layer with weight 1 worked without issues on our end, the blinking animation was overlaid onto the movement of the main animation as expected.
