Are you going to use the USB input?
Or are you going to be using the analog audio input that the generator is connected to?
You will only be using one input at a time, right?
One input distortion does not add to the other input distortion.
How did you measure the harmonic distortion of the USB input?
Or is it just a specification from the manufacturer?
Measure the 2nd Harmonic, 3rd Harmonic, 4th Harmonic, 5th Harmonic of the signal generator. Write it down.
Measure the 2nd Harmonic, 3rd Harmonic, 4th Harmonic, 5th Harmonic of the signal generator plus amplifier (signal generator connected to the amplifier). Write it down.
Probably, the 2nd and 3rd harmonics are the only ones with any significant percentage.
Higer order, 4, 5, 6, 7 etc. should be far lower in level.
Unless you are near clipping; or unless the open loop amplifier distortion is not very good
and so you are using lots of negative feedback to correct for that, you should not be getting any significant level of higher order harmonic distortion.
Negative feedback pushes down lower order harmonics, and from that, creates upper order harmonics (interesting fact, Huh?).
Refer to documents by Mr. Norman H. Crowhurst.
The 2nd harmonic of the generator and the 2nd harmonic of the amplifier is the most likely harmonic that either partially adds to, or that partially subtracts from each other.
There was some good advice in the posts about using the Root Sum Square method.
For example, an amplifier with 0.5% 2nd, 0.5% 3rd, and no other significant distortion,
the THD is 0.7%, not 1.0%.
If you are going to manufacture and sell amplifiers, you may want to invest in a better signal generator.
Otherwise, if this is for your personal home system, then if you are real worried about the amplifier distortion, you may also want to tool up with some expensive and sophisticated measurement equipment to check the distortion of your loudspeakers at moderate and loud drive levels.
I suspect that for most speaker systems, the speaker distortion is the issue, not your amplifier.
You can do a partial cancellation of the 2nd harmonic distortion of your amplifier plus/minus the 2nd harmonic distortion of your loudspeaker (particularly of the woofer).
Just use your signal generator into the amplifier, and a microphone in front of the speaker, with the mic output to your distortion measuring device.
Measure with the speakers connected one way (red to +, white to -), and then reverse the connection (red to -, white to +). One will be lower distortion.
Just be sure when you get done to connect both speakers the same way, or you will have out-of-phase stereo, and bass cancellation.
If you use Vinyl, you may be surprised by the rated % levels of the phono cartridge distortion.
But take heart, I love my Vinyl recordings. They sound great!
One thing about Vinyl is the distortion is almost all 2nd and 3rd.
And, there are no quantization levels in vinyl.
And there are no fold-back of signals that are out of band, like there can be with CD players.
Then there are the Red Book CDs.
And I love my CDs and CD player too.
They sound great too!
I find that my FM tuners have more distortion, noise, fold-back signals, and birdies than
using the streaming 'signal' of the local classic station.
Your mileage may vary.
Just take advice from the publication that is named: "Enjoy the Music".
Relax, and take it in.