You don't connect that way. first off the Verizon router is primary, it gets DNS then you take an ethernet cable from one of the LAN ports (there are 4 LAN ports & 1 wan port) on the Verizon router and then place that into the linksys wan port. however you must place the linksys router in access point mode in order for it to assign IP addresses.

What is Linksys Router WPS Button and How to Use it | by Sep 10, 2018 Wireless REPEATER Mode on Linksys Wireless router - YouTube Jul 06, 2018 Cisco-Linksys WRT110 RangePlus Wireless Router

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Connecting a Linksys Range Extender to a ATT U-verse router

The RangePlus Wireless Router is really three devices in one box. First, there`s the Wireless Access Point, which lets you connect to the network without wires. There`s also a built in 4 port full duplex 10/100 Switch to connect your wired Ethernet devices together. Linksys WRT54G Wireless-G Router Not Connecting to