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In addition, let me refactor this a bit:

function getWords(str = '') {
  return str.trim().split(' ')
}

function createSubobjects(str = '') {
  if (str.length > 1) {
    return {
      [str[0]]: createSubobjects(str.slice(1))
    }
  }
  return str
}

const data = ["avinash", "supte"]

const index = data.reduce((node, entry) => {
  if (entry) {
    getWords(entry)
      .forEach(word => {
        Object.assign(node, createSubobjects(word))
      })
  }
  return node
}, {})

console.log(index)

This is a bit shorter and more readable.