Goated with the sauce refers to the acronym G.O.A.T, (Greatest of all time), and with the sauce implies completeness. To be Goated with the sauce is to reach nirvana.
A "Luke Goter" is the kind of person you would see smoking an invisible blunt at a McDonald's or doing some weird retard dance in a public restroom. A "Luke Goter" can also be a very fun, comedic, and creative person. A "Luke Goter" makes the best memes.
Overall, a "Luke Goter" is an extremely random kind of guy.
Person A: "did you see that freaky guy yelling at nothing yesterday?"