moisturise, moisturise, moisturise untill u feel ur skin is not that tight and dry. serious, this might be a hassle to u because you might need to apply the moisturiser every 2 hour or so...
but it works on me. if your face is dry because of the facial cleanser, stop using it and just use ur old brand. but you still need to cure the dryness first.

im saying from my experience. and since i no kaya, this is how i did it.
sometimes, i even use veseline (the petroleum jelly) on top of my moisturiser to lock the moist. but only do this at night before bed.