ANSWER:

Most routers and modem/routers do not have MoCA, so they need a MoCA Adapter if you want to connect the router to an HDTV or other device that has a MoCA Adapter.

Typically FiOS and some other fiber optic services use a MoCA-enabled router. You don't need to connect a MoCA Adapter to these routers. You do need a MoCA adapter for the HDTV or other device that you want to connect to the router using MoCA.

Below is a list of some products that claim to have MoCA 2.0 capability.  Please note that this is not a recommendation to buy any of these products. The list is intended to help you to see whether you have one of these MoCA 2.0 enabled devices.

Company Model Description
Actiontec T3200M Wireless 11ac Bonded VDSL2 Gateway with MoCA 2.0
Actiontec M6240L Broadband Home Router
Arris TG1682G Telephony Gateway
Arris TG1682G Telephony Gateway
Arris XF3 Fiber Gateway
Netgear C7000BMX Cable Modem
Technicolor TC8717C Residential Gateway
Technicolor DPC3941T Gateway
Technicolor DWA1230 MoCA Gateway Device
Verizon Fios-G1100 Fios Quantum Gateway