I found the Lyretail's to be more finicky eaters than the Bartlett's for some reason. The Lyretail's i had refused to eat anything, and i lost a couple of them and just the male survived.
When i introduced the Bartletts the male Lyretail i still had started copying their eating preferences for some strange reason. Now all the Anthea's i have eat anything i put into the tank! They all go crazy for cyclopeeze flakes when i introduced those (they weren't keen on the cyclopeeze power), previously to this they ignored flake food completely, once they got accustomed to the cyclopeeze flakes i then started feeding other flake foods and they now love those too.
I change what i feed them daily so they get used to eating a variety of foods. I rotate using Cyclopeeze flakes, new era flakes, small pellets and mysis. Some days i mix up a combo and they seem to love that too.
I keep the pumps on when i feed the fish and as soon as the food hits the water the go mad chasing for it. Making them "catch" the food seemed to stimulate a feeding response and worked better than letting the food float in the tank, as they often ignored it when i did that.
If they are eating Mysis then that's a good start, i think it's just a matter of getting them interested in the flakes now so they get a variety in their diet.