Database

[{"_id":1,"name":"Alice","favorites":["apple","banana","cherry"]},{"_id":2,"name":"Bob","favorites":["banana","orange"]},{"_id":3,"name":"Charlie","favorites":["apple","cherry"]}]

Query

db.collection.aggregate([{$match:{$expr:{$ne:[{$setIntersection:["$favorites",["banana","orange"]]},[]]}}}])

Result