Refugees suffer from shortages of food, water, medicine, and various other things.
Literal
Refugees [topic-は] food [and-や] water, medicine [such as-など] various shortages [object-を] suffer [nominalizer-ものだ].
避難民 (ひなんみん) means 'refugee, displaced person.' ~や...など lists examples non-exhaustively: 'things like food, water, and medicine.' ~を被る means 'to suffer, incur.' ものだ at the end expresses general truth or inevitability.