Adding a tiny bit of apple cider vinegar into your rabbit’s water source can help nullify that urine’s smell generally.
Also, unsure if you’re using reusable pads or not, but if you are (which I recommend to reduce trash production), you can keep soiled ones in a cloth-diaper laundry bag, as you mention. I’ve had one for almost 3 years now since I purchased it for the towels I use to wipe my rabbits’ litter boxes. It is “Planet Wise” brand and I always chuck it in the washer/dryer for easy cleaning, with the used towels (just ordinary hand towels). I chose whatever brand was most available to me at the time, so in terms of Planet Wise’s production, eco-friendly practices, etc., I cannot vouch for… but the laundry bag has worked and I don’t smell anything unless I open up the bag to put more towels in it.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.