Yes. Honestly even if they were grown up I would first put this in the “still has good relationship with local mom” column, a rare green flag these days. Only if part of a larger pattern of dysfunction would I treat it as a red flag.

But OOP is likely (A) a teenager, because moms don’t usually know anything about their adult kid’s vehicle, and (B) a boy, because this is obvious boomer humor. A mom knowing about their teenage son’s date is expected.

The gift of cookies just means she likes the gf and wants her to know. Green flag only.