There are two message systems iMessage and MMS, if the text was from another Apple user it should be synched by default, however with telephone company MMS messages syncing does not automatically occur. A feature of Ventura and iOS/iPadOS 16 is the ability to sync both iMessages and MMS texts between devices and another setting has been added in Settings > Messages > Text Message to enable this.

Last edited by joemikeb; 07/26/22 04:02 PM. Reason: rewrite
If we knew what it was we were doing, it wouldn't be called research, would it?

— Albert Einstein