Aggregation third solution

db.collection.aggregate([
  {
    "$group": {
      "_id": {
        "date": {
          $dateToString: {
            format: "%Y-%m-%d",
            date: "$time"
          }
        },
        "product": "$product"
      }
    }
  },
  {
    "$group": {
      "_id": "$_id.date",
      "count": {
        "$sum": 1
      }
    }
  }
])