Greetings beadgrrl,
In order to sync your Messages, you'll need to follow these steps:
"Turn on Messages in iCloud
- On your Mac, choose Apple menu
> System Settings, then do one of the following:
- If you need to sign in to your Mac: Click Sign in with your Apple ID at the top of the sidebar, then sign in with your Apple ID. Use the same Apple ID you use to sign in to Messages.
- If you’re already signed in to your Mac: Click [your name] at the top of the sidebar, then make sure you’re signed in to iCloud with the same Apple ID you use to sign in to Messages.
- Note: Most users only have one Apple ID. If you have more than one, go to System Settings on your Mac, and Messages Settings in Messages, and make sure you’re using the same Apple ID for both.
- Click Password & Security on the right, then make sure that Two-Factor Authentication is on. If it’s off, see Set up your Apple ID password and security information.
- In the Messages app
on your Mac, choose Messages > Settings, then click iMessage. - Click Settings, then select Enable Messages in iCloud.
- The messages from your other devices that use the same Apple ID appear on your Mac.
- Note: Depending on how many messages you have, it may take a while for all of them to appear. You can send and receive messages during that time.
After you turn on Messages in iCloud, your messages stay up to date automatically. If you want to make sure a new change takes effect immediately, choose Messages > Settings, click iMessage, click Settings, then click Sync Now." Access your messages on all your Apple devices
We hope this helps!
Sincerely.