Yeah, I can barely see veggie plants in there. They are being seriously overtaken by the grass and will not survive much longer. The grass gets very tall when not mowed and you can't mow it when your veggies are mixed in there. So the grass doesn't only steal soil nutrients and water, it steals sun as well.
Sorry, I know it's a lot of work to get rid of, but that is what gardening is like.
Once you have dug all the grass out with a hand trowel, you can slow it down from coming back by digging a little ditch in front of your veggies. It just needs to be say 5" deep and 3" wide or so; you can just dig it out with your trowel. Pile the dirt you dig out in your veggie plot and then cover it with mulch. Not a permanent solution, but it slows the grass down a lot.
This is a fence line flower bed that has been dug out of the lawn and given the ditch edging. I weed it and re-do the ditch early in the season and probably once more later and that takes care of it pretty well.