As far as I know, the Germans mainly used mechanised and armoured formations in the counter-attack that led up to the third battle of Kharkov.

Armee-abteilung Kempf (OoB for corps from February 1943, OoB for divisions from November 1942).

Corps	Divisions
XXXXII. Armeekorps	5. Luftwaffen-feld-division, 153. Reserve-division, Romanian Mountain Corps.
Generalkommando z.b.V. Raus (XI.)	384. Infanterie-division, 4 Infanterie-division, 376. Infanterie-division.

1. Panzer-armee (OoBs are for December 1942 and January 1943).

Corps	Divisions
III. Panzer-korps	2. Romanian Mountain Division, (Most of) 13. Panzer-division, SS-Division Wiking
XXX. Armeekorps	Gruppe Kreysing (part of 3. Gebirgs-division), 304. Infanterie-division, Gruppe Nagel, (part of) Brigade Schuldt, Italian 3a Divisione di Fanteria “Ravenna” including Raggruppamento CC.NN. “23 Marzo”
XXXX. Panzer-korps	3. Panzer-division, (Part of) 13. Panzer-division, Cossack-Regiment von Jungschultz.

4. Panzer-armee

Corps	Divisions
II. SS Panzer-korps	1. SS-Panzer-division, 2. SS-Panzer-division, 3. SS-Panzer-division.
LVII. Panzer-korps	17. Panzer-division, 23. Panzer-division, 111. Infanterie-division, SS-Division Wiking (moved from III. Panzer-korps in early February).
XXXXVIII. Panzer-korps	11. Panzer-division, 106. Infanterie-division, 39. Infanterie-division, 6. Panzer-division.

My finger slipped and marked it as NSFW. Sorry