You can get used to such switching tabs, but personally it does not fully work out and it seems that the usual tabs inside the browser, as well as a simpler opening of a new tab using the plus icon, it was much more convenient. But I suffered, not knowing that there is an opportunity to return everything as it was.
Turn on the old tabs in the new Chrome on Android
As it turned out, to enable ordinary tabs, it was necessary only to look at the Google Chrome settings. There is an obvious section "Combine tabs and applications" and it is enabled by default (in this case, the Site tabs behave like individual applications).
If you disable this item, the browser will restart, restore all the session running at the time of switching and later work with tabs will occur using the switch in the Chrome itself for Android, as it was before.
Also, the browser menu also changes: for example, in a new interface version on the homepage Chrome (with miniatures of frequently visited sites and search), there is no item "Open a new tab", and in the old (with tabs) it is.
I do not know, maybe I do not understand something and embedded Google the work option is better, but for some reason it does not seem. Although who knows: Organization of the Area of Notifications and Access to Settings in Android 5 I also did not really like it, but now I'm used to it.