我去吃的我们家乡菜，东北菜．用英语说

I will go to have our local dishes -- Northeasten dishes.

I will go to eat our some local dishes and northeast dishes.

语气应该是过去时 i have had our native dishes，character dishes of Northeast.
这里的 东北菜应该是具有东北特色的 直译不妥
(地道的美语口语）