What do want to know, how to mix mud, then set the stone the next day or at the same time?
I mix my mud 4 parts damp mason sand to 1 part portland cement, just wet enough so that holds together in a ball without water sqeezing out of it, this is packed 1 1/4" to 2" thick over a layer of 15LB. roofing felt and 2.5 wire lath, next day or two, I set my tile or stone using a good modified thinset, that's how I use it.
I never have tried setting while mudding, others will explain how they do it.
I backbutter all porcelain, any size, and backbutter all tile or stone over 13".
Burning in the thinset is done no matter what over everything, flat side then notched side.