Not really, rather general knowledge, I'm afraid.
While the US Army had less divisions/units in both sectors, their units had better troops and materials levels. While looking good on paper, regarding the amount of divisions, some of the German divisions involved were in fact regimental-sized units, and some were inexperienced (just recently formed, or with a high amount of "fresh" recruits, some of these units had quite a number of minors in their ranks).
1. Army deployed in 2 Assault groups (Sturmgruppe 1 + Sturmgruppe 2) :
1. Armee (Army) sector:
Assault group 1 (VIII. SS-Armeekorps) for the attack east of the Vosgue Mountains:
- 19. Volksgrenadier-Division
- 36. Volksgrenadier-Division
- 17. SS-Panzergrenadier-Division.
Assault group 2 (LXXXX. Armeekorps + LXXXIX. Armeekorps) for the attack on the Vosgue Mountain crest:
LXXXX. Armeekorps:
LXXXIX. Armeekorps:
Additional units which either helped assault group 1 or 2 (or even both, to support where territorial gains had been achieved or still attempted), or which operated differently/independently:
Zaloga covers the complete Nordwind operation in one of his books. Should be a decent read.