There are some "wicking" fabrics (don't know which or what) that involve some synthetic "Magic" in the fibers. Those are not supposed to go into the dryer. I don't know if this is important to know for bicycle jerseys as it is folk lore that I learned while I was still working as a soccer ref.

As to the shorts. The dryer does strange things to my chamois, and an inappropriate wrinkle is tough to live with. All 50+ers should know this.