If your Q5 is like mine it has a ZF8 transmission. If so, the answer is yes. HP Tuners self-tuning or with help of others here. Read the multiple threads. You need to buy the hardware dongle for your OBD2 port and 4 credits to unlock it, about $500 total. You cannot tune the ZF8 with VAGCOM (VCDS).
What engine do you have? The ZF8 TCU file is going to be different for the 2.0, 3.0 TFSI and 3.0 TDI.
ZF8 downshift patterns are reasonably smooth in normal drive mode, but are more abrupt in sport mode by design.
How old and how many miles on your car? Perhaps you just need fluid drain and replacement.
Most of us are calibrating (tuning) the upshift programming for higher performance, mostly for changes in torque converter stall speed, AMAX launch control, higher auto upshift rpm and quicker upshifts. I've done nothing to change the downshift patterns, but it can be done with HP Tuners software.
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