I have a mongoose model for a post on a social-media-like website called PostModel:

{
caption: String,
likes: [] // array to store info about users who liked the video, basically a ref to a different model
comments: [] // array to store comment objects
}

I want to sort all the videos in a find query based on the number of likes, which here would be the length of the "likes" array. If two posts have same number of likes, I want to sort by the number of comments, or otherwise, the length of the "comments" array.

The problem is that it is not working. This is what I tried:

PostModel.find({}, {
  likes: { $size: "$likes" },
  comments: { $size: "$comments" }
}, 
{
  sort: { likes: -1, comments: -1 } // gives "cannot sort with keys that are parallel arrays" error
})

This lead me to believe that the sorting happens before the projection. To confirm, I tried the following query:

PostModel.find({}, {
  _l: { $size: "$likes" },
  _c: { $size: "$comments" }
}, 
{
  sort: { _l: -1, _c: -1 }
})

This query did not give any errors but did not sort the resultant array at all. So, it is confirmed that the projection actually happens after the sorting in mongoose.

How should I sort the resultant array by number of likes and number of comments in this case?