When you say "quote, unquote," the word or words you are saying with irony or skepticism should be after that expression, not at the beginning of the whole sentence. For example, "Was it a quote-unquote good thing to do?" It means, Was it a "good" thing to do, or Was it a so-called good thing to do? When speaking, the way you emphasize words would tell the listener which words you are saying "quote, unquote" about. In writing, we usually just put actual quotes around the term, unless you deliberately want to use the expression "quote-unquote."
If you were quoting something in speech, you might say, for example, "Mark Twain said that the ideal life is quote good friends, good books, and a sleepy conscience, end quote."