I do not think that Caridina would be able to consume live Chlorrela unless you let the algae sediment and put a lot in to the tank. But you can grow sessile algae on surface of different objects and offer these to your Caridina. The method for cultivation is basically the same, but you mostly do not need to look for starting culture, simply finding a stone or anything else overgrown with algae should work. Than you can use the same type of cultivation media and just put some objects in it. After they are overgrown with algae, you simply move these to shrimp or catfish tanks, or wherever you need. Whats great is sessile algae are very often again overgrown with sessile Rotifera,so it may very well happen that you could be able to cultivate both this way. Most of the time when we see some kind of fish to nibble on surfaces overgrown with algae, they are most likely to be feeding on other organisms that themselves feed on algae cells. Most of the algae are digestible for crustaceans, but not for higher water organisms, becouse their cell membranes consist of cellulose.
This is very important when you want to use dried powder algae product. Some people use Chlorella powder to feed food organisms and even fish fry. But such kind of powder is produced by processing the dried Chlorella in special mills, that crush the cell membranes and make the valueable nutrients accesible. The problem is that when you put this powder in to the water, all the nutrients from the crushed cells dissolve in water and what you end up doing is you simply polute the water and mostly feed with empty cell membranes that have close to zero nutritional value (the same as with frozen live foods) . So if you ever want to use powder substance, go for Spirulina. Spirulina is not alga, its basically bacteria and its cell membranes are easily digestible, therefore it does not have to be processed this way and its cell membranes are not damaged. If you do not overfeed, it is great for example to grow bigger brine shrimp that you than use for feeding. Of course you can use it for Moina too, but its pretty much the same as with yeast. Its hard to feed just enough, but not to much. When you intend to use it, the best preparation is to use a small vial with cover. Put in some water, a little of the powder and let it soak for couple minutes. Than shake vigorously untill you get a suspension and feed with it. But again in my eyes, all the dry foods are better for encapsulation of food organisms right before feeding where you can put some harvested animals aside and let them feed in special container for couple hours.