I have seen in the Ringside catalog and others that there are air drying gear trees. A tall PVC tube set over a small fan that blows air up thru the main tube and out smaller tubes on the sides ( Like tree branches, get it?) and each glove or mitt is set over the branch tubes which also will have a few holes drilled in them for air flow into the fit of the gear so to speak. I saw recently at a martial arts school they had a make shift one of these with a long horz. tube with smaller tubes pointing vertical similar to the gear tree, just slip glove or mitt over it. It had a garage grade small warm air blower attached. It looked crude, but functional.
This helps remove some moisture to help prevent the conditions for stink and bacteria. Many boxers for years before this always had the concern, nobody uses my gloves, gear etc... to keep from catching a cold, flu staph or other bug. Now with health clubs, martial arts schools etc... using common class gear, it is more likely for some to catch a bug or something from the gross unmaintenanced gear. A cut , scrape or scratch on a hand or knuckle placed into a filthy glove/mitt can cause staph and other health issues.
I have also in the past used an antibacterial powder to keep any bacteria at bay, but be sure not to rub your face or eyes after de-gloving or de-mitting as this can suck. lol. Wash your hands well after too.
If it is a great concern for you, it is possible to take an old out of date hair dryer at home to make shift an air dryer of your own. With the addition of a SMALL amount of antibacterial powder and an hour or two it can cut the bacteria and stink down. But be sure to set it up as not to cause a fire or electrical hazard in the home. Stay with it, don't " Set It And Forget It" lol.
An air drying tree for gear is great at the gym, school or club cause you can begin maintenance right away, and a quality air drying tree can be set on a timer to run the last hour or so of the evening then shut off. this ensures that gloves, mitts etc... get dealt with after each training session and will be ready the next. If you even set something up at home that works, that is great, but be sure to always be habitual about gear care, leave a set of gloves or mitts in the trunk or back seat for a few days, sweaty and unaired, well you get the picture.
I have also seen the glove buddy bag mentioned by another poster, I am not sure of the material within, but these can also help, just better with some sort of ventilation for the insdie of the glove/mitt. Alone they can only do so much, they are best for when you know your gear can set in a gear bag for a few days at a time before re-use. These are more for mid to long term storage. The longer the gear is stuffed in a bag the more likely the conditions for FUNK.
For storage a dryer fabric softener sheet can help, but that also puts the laundry dryer chems in your glove/mitt, and not everyone wants to have that on their fists, hand wraps, nose eyes etc... but it is up to you.
I would not suggest Lysol spray, especially for leather gear, it will eat away at the material and lessen the life of your gloves or mitts. A non-clorine bleach antibacterial wipe is good, but also needs to air dry for maximum care, bacteria prevention and gear longevity. If your gloves or mitts are leather, a good baseball glove mink oil is great for exterior care of the gear. If gear is vinyl, armorall is good too. Be sure to get as much sweat and dirt off exterior of glove/mitt before applying care product. Use a slightly moist towel to get the salt from sweat off them, especially for leather. Exterior care for gear is much easier than the inside of a glove or mitt.