js循环输出从指定日期到当前日期的年月日

循环输出出从指定日期到当前日期的年月,比如指定日期是2020-09，循环出来存入数组中应该是

monthlist:[
  {year:'2020',month:'9'},
  {year:'2020',month:'10'},
  {year:'2020',month:'11'},
  {year:'2020',month:'12'},
  {year:'2021',month:'1'},
  {year:'2021',month:'2'},
  {year:'2021',month:'3'},
  {year:'2021',month:'4'},
  {year:'2021',month:'5'},
  {year:'2021',month:'6'},
  {year:'2021',month:'7'}
],

请问如何循环出来

function gen(date) {
    var date = new Date(date);
    var nt = new Date().getTime();
    var monthlist = [];
    var m = date.getMonth() + 1;
    for (var i = date.getTime(); i <= nt;) {
        var d = new Date(i);
        var year = d.getFullYear();
        var month = d.getMonth() + 1;
        i += 24 * 60 * 60 * 1000;
        if (month == m) {
            continue;
        }
        m = month;
        var obj = {
            year: year,
            month: month
        }
        monthlist.push(obj);
    }
    return monthlist;
}