Hi Arnold,

Typical methods for hand-pollinating plants recommend using a small paintbrush or cotton swab to transfer pollen from one flower to another, so cheesecloth might hold onto the pollen too much to allow for transfer. Instead, try shaking or brushing off some pollen onto a smoother material, like paper, then using a paintbrush or cotton swab to transfer that onto flowers at the other shrub (and vice versa). Simply shaking the pollen onto the receiving shrub would be unlikely to have a high degree of success since there would be no way to ensure the flowers are each receiving pollen on the appropriate parts - you want the pollen to make it onto the stigma, not just on the petals or leaves. If the flowers are not currently blooming, you could also try to encourage more pollinators, like mason bees, to come to your yard by creating habitat for them for next season. Here are a few resources to explain more about the process. 
https://extension.colostate.edu/topic-areas/yard-garden/pollination-of-tree-fruits-7-002/#:~:text=All%20varieties%20of%20apples%20require,in%20Colorado%20are%20self%2Dfruitful.https://pueblo.extension.colostate.edu/hand-pollination/ 
https://www.canr.msu.edu/cherries/horticulture/pollination
https://www.torontomastergardeners.ca/askagardener/nanking-cherry-not-fruiting/

Thanks for your response and advice.  Will see what works best next flowering season.