I'm so glad I found your recipe. I used it on an applesauce cake and it came out great. I used my own applesauce and its was much thicker than store bought. I loved the slightly tart taste and the calories that were saved by cutting out all the butter that my usual frosting recipe calls for. I think this would be great on carrot cake. Thanks for posting.
If you are making this to go with the carrot beet cake, halve this recipe. It makes way more than you need to frost the cake. I had to add about 1/4 cup of corn starch to the frosting because it was too runny. The flavor was good, though. The applesauce is a twist I've never seen.