[{sections:[{fields:[{name:"Date",value:"2020-11-15T15:59:59.999Z"/** this is string*/},{name:"Title",value:"My book"},{name:"Author",value:"Henry"}]}]}]

db.collection.aggregate([{"$match":{$expr:{$eq:[true,{"$reduce":{"input":"$sections","initialValue":false,"in":{"$reduce":{"input":"$$this.fields","initialValue":false,"in":{$or:["$$value",{$and:[{$gte:[{"$toDate":"$$this.value"},new Date("2020-11-01")]},{$lte:[{"$toDate":"$$this.value"},new Date("2020-11-30")]}]}]}}}}}]}}}])