True ETL Tools
If you need more than just to copy data from Jira to PostgreSQL, you may use Skyvia's powerful ETL functionality for Jira and PostgreSQL integration. Skyvia's Import tool will correctly extract Jira data, transform it, and load to PostgreSQL when PostgreSQL tables have different structure than Jira objects. Moreover, Skyvia Import allows loading data in any direction, supporting Reverse ETL scenario.
For more complex cases, you can use Data Flow and Control Flow tools. They are designer-based solutions for creating complex data pipelines, involving not only Jira and PostgreSQL connectors, but any number of connectors in one integration. With these tools you can automate data workflows, involving custom logic, complex multistage transformations, combine data from different sources, load them into multiple destinations at once and many more.