jak.son48,
Thanks for checking the compatibility. Let's also make sure that your devices didn't somehow block one another. Since you can share from the iPhone to the Mac but not the other way around, let's focus on the Mac for this part. Go to Messages > Preferences > Blocked and just check to make sure you aren't blocked. If not, go ahead and restart all the involved devices and try once more.
If that doesn't help, let's toggle off Handoff on all the devices and then toggle it back on. Follow the reverse of the steps in the "Set up Handoff" section of Use Handoff to continue a task on your other devices to do that. After doing that, try once again to test both ways from native apps like Mail, Safari, Notes or Messages.
If the issue remains, try toggling off Bluetooth on all devices and then toggle it back on and test. If still not working as expected , restart your Wi-Fi router and modem and test. If no success, forget the Wi-Fi network on all devices and then reconnect again and test.
We've given you a lot of steps to try, but we're confident one of these will help.
Take care.