Currently, while any Jira work type can be linked to Goals in Atlassian Home, only Jira Epics can be synced and displayed in the Goals section of a Jira project. Other issue types, apart from Epics, are not synced or shown in the Goals section.

This limitation is documented here: Link work in Jira to goals and projects in Atlassian Home - Jira Cloud - Atlassian Support

Feature Request:
We would like to request the ability to sync and display all Jira issue types (not just Epics) in the Goals section of Jira projects. This would provide greater flexibility and visibility for teams who use different issue types to track their work and progress towards goals.