The first one would depend heavily on which region of France the colonists predominantly came from, and which areas of Mexico, as the indigenous people of different areas had different cuisines. French colonists from Brittany in the Yucatan are going to have different cuisines than colonists from Provence in Tamaulipas.How would different patterns of colonization, say French Settlement of Mexico, or Turco-Mongol colonization of *Russia (which wouldn’t exist) affect local cuisine?
It'll one day get described in my TL, but there's a few things that would be universal regardless. Almost certainly use of native wapato (Sagittaria, omodaka in Japanese) since its East Asian relatives were used quite a bit in China and Japan. Potatoes would be imported fairly early and likely grown alongside buckwheat and millet and other crops often grown by Japanese settlers OTL in Hokkaido. Rice would still be very common everywhere from the Lower Mainland south, but north of there only common among the elite (no local production plus expense) and less common east of the Cascades where it will require irrigation (and potentially in parts the climate is too cold but I'd have to check).I personally would be interested in whatever cuisine comes out of a Japanese colony in the Pacific Northwest of North America. What sort of local fish could they add to their sushi? Could TTL's Japanese acquire a fondness for moose beef?
Not OP, but that's nearly the exact case in my TL, so could you provide some ideas?French colonists from Brittany in the Yucatan
Crêpes come from Brittany and the cacao was one of the major crops in the Yucatan, so you can rest assured that chocolate crêpes will not be butterflied away, although they might pack a bit more kick from the chocolate being mixed with chili peppers; the Maya mixed chili peppers into chocolate. There may be some hybridization of the crêpe and the tortilla. The main alcoholic drinks associated with Brittany are cider and beer. I don't know what might happen with cider (perhaps some version with a New World fruit). We might see a corn/maize based beer. That's similar to what happened in OTL with whiskey. Scottish and Irish settlers in Kentucky and Tennessee switched from wheat, barley, and rye based whiskey to corn/maize based. I don't know what the Bretons would do with avocados. We could see some kind of kig ha farz with corn instead of buckwheat.Not OP, but that's nearly the exact case in my TL, so could you provide some ideas?