Firstly ignore the second "router" for the time being, it's not needed to get the home plugs working.
Plug one of the home plugs into your main router that provides your internet t the house and plug it into a socket nearby, then plug the second one into a socket in the same room and connect your laptop to it directly using a ethernet cable and see if you get a link like that.
If you do then relocate the second plug to the room you want to use it in and try it again without changing anything other than the physical location of the plug.
(also can you provide a link to the exact plugs you bought and the make and models of both "routers")