There is this video on youtube that can clarify a bit the theory, although it approaches the use of magnesium (Mg) along with molecular sieves: https://www.youtube.com/watch?v=NMfs3e9OdZQ.
I would also recommend you to read this paper more focused exclusively on molecular sieves, and entitled "Separation of Ethanol–Water Mixtures Using Molecular Sieves and Biobased Adsorbents" (Article Separation of Ethanol–Water Mixtures Using Molecular Sieves ...
).
It will also depend of what is the condition that you are willing to separate methanol/ethanol by drying, if it is a mixture with water or other solvent/solute.
I am not an expert in the field, but I hope this enlightens your way towards the best solution.