Are there any kanban board apps that keep audit history and sync reliably across mobile and desktop?

Yes — a few kanban apps are known for good cross-device sync and audit/history features, though the exact “audit history” depth varies a lot.

Good options to look at

1) ClickUp

• Strong desktop + mobile sync
• Has activity logs and task history
• Good for teams that want more than just kanban
• Caveat: can feel a bit heavy/complex

2) Jira

• Very solid audit trail and issue history
• Reliable across web/mobile/desktop
• Best if you want formal team/workflow tracking
• Caveat: overkill for simple personal boards

3) Asana

• Reliable sync across devices
• Activity history on tasks/projects
• Good balance of usability and team features
• Caveat: not as deep an “audit log” as enterprise tools

4) Trello

• Excellent sync and simple mobile/desktop experience
• Has card activity history
• Great for lightweight kanban
• Caveat: history/audit is basic compared with more enterprise-oriented tools

5) Monday.com

• Reliable sync, good mobile app
• Activity logs and change tracking
• Good for teams needing workflow visibility
• Caveat: can get expensive

6) Notion

• Works across devices and keeps page history
• Can be used as kanban
• Caveat: sync can be less “instant/reliable” than dedicated task tools, and audit features are more page-version oriented than true board audit logs

If you care most about “audit history”

The strongest picks are usually:

• Jira for formal auditability
• ClickUp for flexible project tracking with history
• Monday.com for team visibility and logs

If you care most about “simple + reliable sync”

• Trello
• Asana

If you want, I can narrow this down based on whether you need:

1. personal use or team use
2. offline support
3. true audit trail/compliance
4. self-hosted vs cloud