let objs = [{ name: "1", cat: "c1" },{ name: "2", cat: "c1" },{ name: "3", cat: "c2" },{ name: "4", cat: "c3" }, { name: "5", cat: "c3"},]
let filters = ["c1", "c2"] // Искомые фильтры
let filtered = objs.filter(e => filters.find(f => f === e.cat)) // Фильр
console.log(filtered)