'Down Home With The Neelys' -- Cooking Couple Call It Quits

The husband-wife chefs from "Down Home With The Neelys" have officially made mince meat of their 19-year marriage -- Gina Neely's filed for divorce.

Gina and her estranged husband Pat Neely became household names with a long-running Food Network show. According to the docs, they've been separated for 2 years ... though you'd never be able to tell from their show ... which they've continued to shoot all along.

Gina cites irreconcilable differences in the papers -- but according to a joint statement ... they're splitting on good terms, and will continue to run their NYC barbecue restaurant together. They also say they'll be focusing on their "individual brands" ... which sounds like the show might be cooked.

They have 2 daughters, but both are over 18 -- so, no child support. The biggest issue for them might be ... who gets the delicious wing recipe!