First, are you logged in to Chrome itself?
Second, are you saying that if you open a tab in Chrome on one device you want it to open on the other in "close to real time"? I do not think that is, or has ever been, supported. You can look in History -> Tabs from other devices to select tabs you'd like to open on your current device, but I know of no way to make two Chrome instances on two separate devices stay in literal synchrony using the sync function.
If you are logged into Chrome browser using the same Google Account on two or more devices you should actually have a display that looks like this:
when you first go to the history menu. You can see in this screen shot that the tabs I have open on my smart phone in Chrome are at the bottom of the list while the ones I have recently closed on My PC (or some of them, as they won't all fit - it makes no sense to display a list of tabs currently open on the active device) are at the top.
If you are logged in to Chrome under the same Google Account and it's still not working I would double check that your sync settings are what you think they are, as one can choose to turn off tabs, for instance, and they may not be getting synced.
Edited by britechguy, 16 August 2017 - 11:03 AM.
Brian AKA Bri the Tech Guy (website in my user profile) - Windows 10 Home, 64-Bit, Version 1803, Build 17134
. . . the presumption of innocence, while essential in the legal realm, does not mean the elimination of common sense outside it. The willing suspension of disbelief has its limits, or should.
~ Ruth Marcus, November 10, 2017, in Washington Post article, Bannon is right: It’s no coincidence The Post broke the Moore story