Pulling data using Conduit's maniphest.query, the "order-created", "order-modified" values of the "order" parameter of the "maniphest.query" method only allow descending order.
There is no way to sort results in ascending order. Pulling a list of tasks from oldest to newest would make external processing easier and faster.
This depends on T6864: Sort Queries in Ascending/Descending Order.
(Shortly discussed with Evan on IRC today.)