I personally would not think that drinking kombucha while trying to eliminate candida makes sense as there is definitely left over sugar that is not consumed by the yeast which could effectively feed the candida in your body.
This is completely speculation on my part though from my limited experience with kombucha, fwiw.
This is second hand information.... but my friend who is doing a candida elimination diet says that drinking a little kombucha while you are going through the initial cleanse helps lessen the intense candida-die off symptoms. She is a really smart person and very dedicated researcher with a background in health sciences, so I trust this coming from her. Are you trying to kill off all the yeast as part of a cleanse or maintain a constant candida-free diet?
Candida and the yeasts in kombucha are two completely different things and until someone provides a study showing that fermented foods containing beneficial yeasts increase risk of yeast infection, I won't believe it.
Since you're trying to avoid feeding candida, I assume you must also be needlessly cutting out mushrooms as well?
kombucha is basically like drinking down a yeast infection...the only way that a mother can form is if there is alcohol present in the medium in which it is growing, so basically its a little colony of yeast that will inhabit your body if you have an inbalance in proper microorganisms or an excess of sugars or yeasts already floating around....
The only reason you would want to avoid kombucha on a anti-yeast regime is if you are taking antifungals. The antifungals do not differentiate between healthy yeast and bad yeast and the yeast in the kombucha will contribute to an already unpleasant die off reaction.