I've had good luck getting odors out of things with vinegar in the rinse cycle (sheets, towels, sweaty summer clothes, sports gear, etc).
I typically wash my bike gear (and other wick-away sport clothes) in a gentle powder like Ivory Snow and if it was an especially sweaty day or I'm wearing my bike shorts "traditionally" I put plain white vinegar in a downy ball so it releases in the rinse cycle. Vinegar is a natural fabric softener and helps get detergent residues off of fabrics so that the fibers aren't coated and can dry properly. It also is a mild disinfectant so that helps with residual stink. Ever notice a musty/funky odor in your bath towels? The coating from the detergent residue prevents them from getting all the way dry, run them in a cycle with vinegar in the rinse and it goes away.
2011 Trek Lexa SLX "Silver Surfer"
1998 Specialized HardRock AX FS
It helps to use vinegar or disinfective laundry additive. You can smell the vinegar after washing but the smell goes away when the laundry dries.
But the only thing that really gets rid of the stink is to wash in hot water. Most sport fabrics should not be washed hot, but I still do it once in a while - haven't had a problem yet. After that I hang them out in the sun if possible.
My wool jerseys don't stink as much, but to say they don't stink at all wouldn't be true![]()
I've never had a problem with jerseys stinking. May I ask what brands you have? I do remember when I first started riding (2000), some of the jerseys I had, and particularly, the ones DH and DS had were thicker,had more polyester, and held odor more.
I wash my shorts in hot water and hang to dry, but I've never washed jerseys in hot water.
2015 Trek Silque SSL
Specialized Oura
2011 Guru Praemio
Specialized Oura
2017 Specialized Ariel Sport
Another vinegar user here. I put in about a 1/2 to full cup depending on the size of the load. I use plain white vinegar and it takes away odors. So far it's never harmed anything of mine yet.
Bike Writer
http://pedaltohealth.blogspot.com/
Schwinn Gateway unknown year
Specalized Expedition Sport Low-Entry 2011
Biz. I do the soak that Irulan recommended if the clothes are really foul. After that, a 1/2 cup added to each load of cycling/fitness clothes keeps the odor under control. With the Biz, I never have to wash anything in water warmer than "warm".
I have had the problem with my Buff headbands. I add some oxyclean powder in with the clothes and wash on gentle with my regular detergent.
Grits
2010 Trek 5.2 Madone WSD, SI Diva Gel Flow
2002 Terry Classic, Terry Liberator
Ditto, I've never had an issue with stinking exercise gear. I put all of it in the washer on the 'warm' cycle right after exercise or the day after, hang everything to dry (indoors). If I have to wash it the next day, I make sure it is aired in the meantime (not crumpled and damp in a hamper). I use some ordinary Arm & Hammer detergent that I pick at a Target.