Two shortcuts, both work on any page. On a Mac, Alt is the ⌥ Option key.
Find a tab: press AltK and start typing. Your open tabs come first, most recent at the top. Enter switches to it.
Flip between recent tabs: hold Alt and tap Q. Keep tapping to move along, let go to switch. A single quick tap jumps back to your last tab.
Actions: press Tab on an empty command bar to copy the URL, pin, duplicate, move to a new window, reopen a closed tab and more.
If a shortcut does nothing
Another extension or app may already use it. Open chrome://extensions/shortcuts in the address bar and pick different keys for Tab Launcher. The settings page also shows how to use CtrlTab or ⌘T instead.
Settings
Right-click the Tab Launcher icon and choose Options to turn on history and bookmark search or tab previews. Pin the icon from the puzzle-piece menu if you want it in the toolbar.