Making good hay comes with experience. Anyone can make hay and anyone can burn their barn down as well. Unlike Hay Dude I don't bale mulch hay to sell to mushroom growers and I bet even his mushroom bales are dry as well. You never bale anything with a RM over 15% maximum, ever.
Making high quality forage starts with the plants themselves along with careful fertilizing and pesticide and herbicide application and then cutting, tedding and / or raking and then bailing at the proper time plus dealing with Mother nature as well.
Best thing you can do with the wet bales is park them away from any building in a field and let them cook safely as they are already moldy inside and worthless for anything, except maybe for garden mulch. More than once I've either pushed the envelope or Mother Nature dealt me a bad hand and I've raked it off the fields into the ditch.
One thing I've never done is bale hay over 15% RM, ever. and one of the very first tools I purchased was the Delmhorst moisture meter. The one I have, you can measure the RM of the forage as you are bailing it or sample a windrow for relative moisture or even stick already made bales to sense the RM inside the bale. Like I said previously, great tool for maying liars out of sellers at hay auctions. When I go to a hay auction, I set the Delmhorst at 22% and if the RM inside a bale (round or square don't matter) exceeds 22%, it has not only a digital readout but a real loud alarm that lets everyone around me know the hay is potentially garbage. Hay sellers at auctions don't like me as a rule because a lot of them are devious.
You have a lot to learn. Least you didn't roast your barn. Be thankful for that and a barn fire from hot moldy hay is a real PITA to extinguish as well.
Last fall I gave up all my off farm fields simply because my health won't allow me to do it anymore so I just run the fields adjacent to the farm now. In realty, it's become more of a hobby now but I have no issue selling all of it anyway.