Mishneh Torah, Human Dispositions 5:4 teaches that a person should not be excessively casual and should not sully his mouth with idle words, even in private speech to his wife, but this is a behavioral instruction, not a linguistic phrase for calling out nonsense.
Sha'arei Kedusha, Part 2 5:11 warns that idle talk leads to great transgressions, including sitting among scoffers, lashon hara, gossip, and mockery, framing idle speech as a moral danger rather than supplying a term for dismissing nonsensical speech.
Orchot Tzadikim 21:12 notes that the early sages were careful their whole lives to avoid idle talk, again describing a virtue of restraint rather than any specific expression.
Midrash Shmuel on Avot 1:17 records the teaching that among all forms of ethical guidance, none is more beneficial than silence itself, reinforcing the theme of restraint in speech without offering the phrase the question seeks.
Taken together, these sources establish the value of avoiding idle or foolish speech as recorded in Mishneh Torah, Human Dispositions 5:4, Sha'arei Kedusha, Part 2 5:11, Orchot Tzadikim 21:12, and Midrash Shmuel on Avot 1:17, but none of them contain or point to a specific idiom like 'shtuki baduki' meaning 'don't talk nonsense,' so the question as posed is not borne out by what these passages actually say.