Recent dormant grafts and the little details of aftercare,
namely: (part b) paying attention to the moisture content.

On a recent forum (see link) of former images try-1, try2, and something as followed up with moist peat-moss or the equivalent is really important.

first -the small scion whip graft	Second -the 2 scion cleft graft

Hopefully the images speak for themselves. The yellow wrap around containing the peat has the bottom knocked out to drain any moisture away. Also check out the 1st of 2 PDF pages by Alfred J. Fordham, a classic old case well referred to in many an old grafters book.

It too will always make sense (before hand thinking) to avoid grafting upon large used up branches as such that have since been deprived of sunlight. As well, another citation I remembered reading went out in the 1930s to Oregon sweet cherry farmers to never graft onto limbs bigger than 2.5 inches.