part number question
GM never made a 3.23 gear for a 2 series carrier,that I know of, if that's your concern.
The more important pic for you would be this one and the reference in it as it doesn't deal with ratio only the approximate necessary dimension between pinion and carrier flange surface.
Disregarding the back row for 2 series, the front row and middle row are for 3 series. As the ratio get numerically higher (3.23-3.42-3.73-4.10) the pinion gear diameter decreases thereby requiring a thicker ring gear to maintain the critical pinion gear centerline to ring gear flange mounting surface dimension.
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Back to your original post, 'they are too noisy'. Noises come from many components, pinion bearings, carrier bearings, axle bearings.
Auburns require regular ( not synthetic) gear lube, and have to add the GM friction modifier.
If axle bearings / sxles are a problem, the use of 'axle bearing saver' assemblies are not recommended as they cause many severe assembly / disassembly problems.





