Ardesia, if you are using the "My List" feature, it does alphabetize by botanical name. The common name appears first in the listing, which is a bit odd, but you get used to it. In my list, for example, the first entry is Grand Fir, Abies grandis. All the Acers come next, even though their common names are some sort of maple. I also find it helpful to make use of the personal categories. I categorize my plants by type (tree, perennial, vine, etc.) and also by characteristic (aromatic, medicinal, native, etc.). That way, I can work with smaller lists to clean things up, add photos, and enter comments. If you are new to My List, I would suggest poking around at other folks' lists to see how they have structured them. Lots of good ideas out there.
But, perhaps you are using another list feature here that I am unfamiliar with?