Untitled-2

const filters = ['a', 'b'];

const results = [
  {
    name: 'Result 1',
    category: ['a']
  },
  {
    name: 'Result 2',
    category: ['a', 'b']
  },
  {
    name: 'Result 3',
    category: ['c', 'a', 'b', 'd']
  }
];

const filteredResults = results.filter(item =>
  filters.every(val => item.category.indexOf(val) > -1)
);

console.log(filteredResults);