Messages.app not downloading messages send/received on iPhone I've been recently trying to fix an issues with Messages.app. My iPhone sends/receives all of the messages fine, on my Mac Messages.app will display these messages if the Mac is switched on.

However, if I leave my Mac off then the messages do not appear in Messages.app which is incredibly frustrating.

I have tried signing in and out on both devices, but nothing changes. Forwarded SMS is also having this issue.

I'm currently running OSX 10.10.3 and iOS 8.3 12F70
I'm not sure it will even attempt to distribute messages to all possible destinations once one has definitely received it. 

I had a similar issue last year when my phone would be out of range for iMessage for most of the day, but my Mac at home was happily picking them up - I didn't see any of them til I got home :(

See How to tell Messages &quot;I&#39;m not at home&quot;? which is similar, but the opposite way round.
None of the proposed solutions worked for me at the time - perhaps would be different now I'm on Yosemite, but I won't get chance to test unless I get the same job this summer, in the same out-of-range location.