[{items:[{id:"000",value:"string"},{id:"001",value:1234},{id:"002",value:true}]},{items:[{id:"000",value:"another string"},{id:"001",value:2345},{id:"002",value:false}]},{items:[{id:"should not return",value:"no"}]}]

db.collection.find({"$expr":{"$anyElementTrue":{"$map":{"input":"$items","as":"i","in":{"$or":[{"$in":["$$i.id",["000","002"]]},{"$regexMatch":{"input":{"$toString":"$$i.value"},"regex":"e","options":"i"}}]}}}}})