[{"name":"mycollection","details":[{"date":"25/03/2020","number":"A1","active":false},{"date":"25/03/2020","number":"A2","active":true}]},{"name":"newcollection","details":[{"date":"30/03/2020","number":"C","active":false}]},{"name":"mycollection","details":[{"date":"31/03/2020","number":"C1","active":false},{"date":"25/03/2020","number":"C2","active":true},{"date":"25/03/2020","number":"C3","active":false}]}]

db.collection.aggregate([{$match:{name:"mycollection","details.active":false}},{$project:{name:1,details:{$filter:{input:"$details",as:"elem",cond:{$eq:["$$elem.active",false]}}}}}])