I've never had much of a BO problem (just dumb luck of the genetics draw, nothing any of us can do much about) but after a week or so with some new magic-poly fabric shirts (Pearl Izumi, Louis Garneau) I can already tell they're less stinky than my cotton t-shirts and longsleeve jerseys.
The older style poly fabrics I tried years ago seemed to hold odor more stubbornly, but the new stuff is really good.
BTW, there's more to good clothes detergents than fragrance and surfactants. One reason stuff like Tide and Gain cost so much more than other detergents is the enzymes and other voodoo that goes into their suds. Well, that, plus jealously guarding their R&D, marketing, lawyers, etc. I've tried all the cheaper stuff, like Purex and A&H, but nothing is as good as Tide and, to a slightly lesser extent, Gain. I use the gel flings in our local heavy duty laundromat machines, and have even used a gel fling diluted in a small tub of warm water at home for hand washing some items. Better than Woolite and borax even for most delicate items.
Hard for me to admit that, because I'm a cheapskate and swore for years that Purex and Arm & Hammer were just as good. But they ain't just as good, nowhere near it.
Try some Tide or Gain gel flings on a load of your bike clothes. Your spouse or SO might even let you wash 'em with the civilized clothing next time.