Do a google search for "audi ssp 436" and open the PDF to page 7. You'll see CABx is the EA888 generation 1 1.8T longitudinal motor meeting EU IV emissions while CDHx is the EA888 generation 2 1.8T longitudinal motor meeting EU V emissions. The other modifications per that page:
– Main bearing diameter reduced from 58 to 52 mm
– Modified piston
– Modified piston rings
– Different honing process
– Ixetic vacuum pump
Looking further at page 8, you'll see CABB and CDHB are both 118kW and seem identical in feature set.
I have no idea if it's a direct swap. I imagine it's close enough that it would be worth investigating. Probably like CAEx and CPMx here, swap a crank position sensor, intake manifold, accessory bracket, good to go, though most of that was due to B8.0 vs B8.5. It seems like your CABB vs CDHB are both B8.0 motors.
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