Organic solution for killing BERMUDA grass in my vegetable garden?

It’s choking out the plants and I cant get it stopped not even with hoeing and pulling.
violetki… I messed up I will know better next year.
I’ve killed all it around my garden and inside the fence with roundup.
I laid 6mil black plastic inbetween the beds and put mulch over that.
I really think I’m going to salvage what I can and dig out the dirt and lay down the fabric and just start over. New dirt will cost $60 to $80 but I’ll save more than that on my grocery bill . Beans are cheap and grow fast like cucumbers and squash