Tell me about it !
Flea beetles seems to have perfect timing for eggplants.
Another way to fight them is to cover youe EPs with fine nylon tulle untill they get growing
faster than FBs can eat them.

cyrus

Or lightweight row covers. I did this last year and it kept the flea beetles away.

The row cover routine was a bit of a drag so this year I just stuck the plants in the ground, interplanted with some broccoli that's already pretty big. During the winter, I also put up a couple of birdhouses nearby. Don't know if the broccoli is inhibiting the bugs or the birds are eating them, but so far so good  keeping fingers crossed.