Literally 군침이 안도노 means "Why doesn't my mouth water?" "Why doesn't it make me salivate?" In the meme expression, 군침이 안도노 means "I'm unconcerned. I'm not interested in it. That's not good." cf. 군침이 싹도노 means "It's awesome. This is funny.It’s interesting."

It is a kind of dialect! And the other one’s explanation is perfect! (Off the record) As an ordinary Korean student, I’ve never seen the phrase😆..