iMessage and updating from Mac


I broke my iPhone about a month ago so with my new iPhone my imessage backup is about a month out of date. My iMac is up to date. Is there anyway to ensure imessage on my phone gets updated with the latest messages?


My understanding is that (until iMessages in the cloud is released hopefully soon) each message is delivered signed with a device specific key, so you can’t fill in the missing gap between the backup and today. Upside, at least you have them on your Mac.