Seems like it might depend whether you're an Ashkenazi or not.
In principle, as you say, flour (that never became wet, as in the comments to the question) mixed with liquids other than water can't become chametz, and therefore Shulchan Aruch (Orach Chaim 462:1) permits eating baked goods made in this way on Pesach.
However, Rema (ibid. :4) states that "in these countries it is not customary to knead using juice" (as Mishnah Berurah :15 says, this is in deference to the opinions that flour with juice can indeed become chametz, plus the concern that some water may have been mixed into the liquid, which is universally agreed to make it become chametz faster than plain water), "and this [custom] should not be altered except in case of great need, such as for a sick or old person who needs it." (Mishnah Berurah :18 adds that even after the fact - if a dough was made using juice in violation of this custom, and not for the sake of an old or sick person - it should not be eaten on Pesach, although it can be saved for after the holiday.)