iMessage
iPhone 13 pro and iPad mini 6 are not syncing iMessages sand not all messages are synced on both devices. Tried network setting reset and rebooted on both devices.
iPad mini 6 Wi-Fi
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If you have an iPhone - and both iPad and iPhone are signed-in to iCloud with the same AppleID, to send SMS/MMS messages from your iPad you must explicitly enable Text Message Forwarding for your iPad on your iPhone. Verify these settings:
On your iPhone:
Settings > Messages > Text Message Forwarding - set to ON - and explicitly enable your iPad from the list of devices.
On iPad and iPhone, ensure that Messages in iCloud is enabled on both devices:
Settings > [Your Name / AppleID] > Messages - set to ON