We have a process where we track issues reported by Release. Our issues come via Cases in Salesforce, which are then pushed as an Feature in Aha which captures the Affected Version in a custom field.
We would like to push this custom field value to the Affected Version/s field on the PD ticket in JIRA.
The status of this idea was out of date. It is now possible to map custom fields between any supported field type. You can find more details here.