Solubility of NaOH in Organic solvent?
Your best bet is to publish the procedure. Procedures from pier reviewed journals are generally reproducible (there are exceptions). So if they say "dissolve x grams in y mL" just do it.

NaOH is poorly soluble in dimethoxyethane. This might be sufficient if base is used as a catalyst or if reaction is slowly shifting to product.

Devil is in details. Heat, presence of water and other factors might impact soluility greatly.