The front and rear carby both have to be in sync in a few different ways.
Bur first, the carbys have to be sealed to the manifold with no air leaks. And the linkages in good order with no movement or slop.
The throttles have to be balanced, so both sets work together perfectly. One way to check is to let the engine idle, and play around with throttle adjustment, have a think/listen about what your doing, and make it so both sets have the throttle cracked open the same amount. The other way, is to hold then engine at medium revs, and check the air flow, with a air flow meter over each intake. Another way is to have the engine at medium revs, and check vacuum pressure in each runner. This will work if you have a vacuum port in each runner, and the balance tubes are blocked off. Make adjustments with the throttle linkages.
Also, you have to check the fuel level is the same in either carby, and adjust this. If you take a main jet holder out, you will be able to see how high the fuel level is. The carby running rich probably has a higher fuel level, which could be due to adjustment, or a faulty needle and seat.