Meghan Markle might've hoped her cooking would be the way to Prince Harry 's heart ... but, he roasted her as hard as a turkey on Thanksgiving -- claiming her mom's is so much better!

The Duke of Sussex made a brief appearance on the "With Love, Meghan: Holiday Celebration" Netflix special which dropped Wednesday when MM -- along with Chef Tom Colicchio -- made a gumbo Harry tucked right into.

While at first effusive, Harry undercuts Markle's achievement by claiming it's not as good as his mother-in-law's ... leaving Markle totally shocked.

Meghan laughs it off and notes her mother will love Prince Harry even more for making the comment ... easy points for the Brit to win in this case. Gallery Launch Gallery Getty

Also in the ep, Markle cooks up a beet salad with red oni

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