It took me a bit to find it but they hid it a few layers deep.
On the Mac the top left of the menu bar next to the Magnifier glass/Search button there are two bars one looks like it is "slid to on" and the other looks "slid to off." Click on that and it will drop down a box with multiple options like wifi bluetooth etc.
On the right hand side of this box is a button called Screen Mirroring. Click on that and when you do it will bring up the old Airplay looking box. The LG TV should appear in there if the TV set up is correctly (or any airplay capable device). Make sure to choose the correct mirror monitor or use as separate display.
Hope this helps, hate that they changed the name and functionality so drastically. But I guess that is "progress."