Be very careful with bleach and bleach solutions. It can rapidly degrade the material especially the stitching.
Of course, while not always possible, I try not to retract it when its when.
In the past, I have used Simple green sprayed on both sides of the awning and then roll it up for a day or 2. Then un-roll it and hose off.
Another great product that's pretty effortless for tons of things is Wet & Forget.
2022 Rockwood 2442BS
St Augustine, FL