Welcome to the forum!
What kind of sawdust did you use, maybe pine? Pine might not be good for growing things.
Coffee grounds are acidic so using them as mulch might depend on what kind of soil you have.
I save all my coffee grounds to add to my soil as an amendment.
One year the weather was not good so I just dumped all the coffee grounds on top of some grass I wanted to kill. That worked though I am not sure if it was the acid or the thickness of the coffee grounds.
You might find this of interest:
Bryant said, "Here are some useful characteristics of used coffee grounds. They are:
•High in nitrogen (a very valuable nutrient for plants). Grounds have a C/N (carbon:nitrogen) ratio of 20/1.
•Almost neutral (although coffee is highly acidic, the pH level of the grounds are diminished significantly when brewed)
•Digestible by worms
•Good for improving soil tilth (structure)
•A natural pesticide (great for repelling slugs, flies, and other critters!)
•An agent for bacterial control. The natural mold and fungus on coffee can suppress pathogenic fungi, including fusarium, pythium, and sclerotinia species.
•Weed killers
https://permies.com/t/45126/Coffee-Grounds