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.
When a super hot chick bites the longest part of your beard/goatee and gives it a little tug and shake.
Roy: "She billy-goated me"
Brian: "She just clapped on and shocked you like a rag-doll?"
Roy: "Yeah dude, weirdest and sexiest thing ever. You need to grow yours out."