The article below has some simple, cost-effective solutions to managing mud on your farm or ranch. there are also a few more in-depth, long term solutions if you have the time and resources to complete them.
We have used wood chips in high traffic areas of our farm with good results. And, we get free wood chip drops from local arborists, so it is very cheap. The added benefit is that the manure and wood chips make great future compost for the garden.
https://extension.illinois.edu/blogs/cattle-connection/2018-12-03-managing-mud-cattle-farms