Sorry, been following a bunch of links to try and find as much info as I could (sorry it's kind of messy, there's going to be a bunch of links I drew info from at the bottom - all of this info pertains primarily to the Japanese Eel,
Anguilla japonica). The links at the bottom have some good insights not listed here, particularly on how to deal with feeding slurry type feeds which have a tendency to lead to jaw deformities (which can largely be avoided using a kreisel tank) and bacterial issues.
For the original diet, they used a slurry-type feed with low-temperature dried powdered shark eggs from the Spiny Dogfish,
Squalus acanthias, as the base. It also contained oligopeptides (I know very little but about chemistry, but I'd presume soy peptides, as they later developed soy peptides with "a less phytic acid effect" for use in the feed to allow for the larvae to use the vitamins and minerals better), vitamins and minerals, and (Antarctic) krill extract fluid. At some point, they started freezing the shark eggs (I'm assuming there was something of a translation issue here as it just says: "Meanwhile, frozen shark eggs before the drying process were used in place of the manufacture of low-temperature dried powdered shark eggs (the principal ingredient of conventional feed)." - I would guess this means that they used frozen rather than fresh shark eggs to be dried and powdered, but I don't know for sure). This slurry was initially fed 4 times daily, but they moved to feeding it 5 times a day. They also found that only giving the larvae access to the feed for limited amounts of time at each feeding improved the feeding response.
Chicken eggs have been used to rear the larvae successfully, but with notably lower survival rates than the shark eggs. Also, it was found that diets with lower lipid content (essentially diets with less fat) had higher success rates (they tested this using - in order from most successful to least successful - "defatted shark eggs," regular shark eggs, defatted hen egg yolks, and regular hen egg yolks).
As an interesting note here, the larvae have been kept until 26 days post hatch by giving them cow milk baths for feeding times - as in the young were literally moved into a tub of milk for a time, then moved back into the rearing tank. This seems to have gotten the right people interested in using a liquid diet, as this method of feeding prevents the jaw deformities caused by the slurry feedings, and new liquid feeding methods have better success rates than the original slurry feeding methods do. There is a chance that the two links separated from the rest at the bottom mention specifically what is used in this diets, but the full articles are behind paywalls, so I'm not sure.
Knowing what all goes into the diet may be particularly helpful, but otherwise, some of the experts on the forum here may be able to help you piece together some additives/substitutes you could use to improve the nutrition of an egg yolk based diet for the larvae using the info about the original diet here.
In the wild, it seems anguillid eel larvae feed on marine snow (essentially particulate organic matter), notably zooplankton fecal pellets and larvacean housings (basically the tunics of free-swimming tunicates). I have no idea how these measure up nutritionally, but it may be an interesting thing for someone to experiment with.
Anyway, some potentially useful related info here: after the eels hit 50mm in length, their settlement/metamorphosis would be triggered by starving them for a week (if not starved, some larvae went 200 days before metamorphosis). There may be an "optimal initial feeding time" that is determined by the reserves of the larval egg sac. The larvae of the Japanese Eel would swim away from light - so they like darker conditions - and they also had better growth and survival at 17.5ppt salinity (brackish water) than 35ppt (marine) salinity, but I doubt this would be true for garden eels too.
Eel aquaculture, though thriving nowadays, is totally dependent on the successful capture of wild eel fry and glass eels for its seedlings. The declination of eel resources in recent years has resulted in an urgent need for technology development in artificial seedlings production on an...
link.springer.com
Shark eggs-based diet is the only diet by which eel larvae can grow to glass eels in captivity. However, the high level of lipids in the diet is suggested to negatively affect eel larvae. This paper examines the effect of defatted shark eggs (DSE) and hen egg yolk (HY) on growth and survival of...
link.springer.com
*The liquid diet links:
Development of artificial production of glass eels still presents many problems to be solved. What and how to feed larvae is one of the most crucial problems for commercial mass production of glass eels. We evaluated a new liquid-type diet and feeding method against the conventional slurry-type...
link.springer.com
The efficiency of a new liquid-type diet for long-term rearing of Japanese eel larvae until metamorphosis was examined, as was the effect of diet viscosity on diet intake and on the survival and growth of early larvae. The highest intake of the experimental diet by 6- and 9-day post-hatch (dph)...
link.springer.com