class MyPagination(PageNumberPagination):

    def get_paginated_response(self, data, extra_keys):
         # ... extra_keys манипуляции
         return Response(...)

class MyView(ListCreateAPIView):
    pagination_class = MyPagination

    def list(self, request, *args, **kwargs):
        page = self.paginate_queryset(queryset)
        if page is not None:
            serializer = self.get_serializer(page, many=True)
            return self.get_paginated_response(serializer.data, extra_keys={'obj_type': self.kwargs.get("obj_type")})

        serializer = self.get_serializer(queryset, many=True)
        return Response(serializer.data)

    def get_paginated_response(self, data, extra_keys):
        assert self.paginator is not None
        return self.paginator.get_paginated_response(data, extra_keys)