If you require detailed organisations, there are plenty in the MicroMark collection on the Wargames Vault. Most of the divisional lists feature their recce battalion.
https://www.wargamevault.com/browse/pub/3426/MicroMark-Army-ListsAs an example, here is the German 33rd Recce Battalion July 20-24th 1942, List G481:
Divisional 33rd Recce Battalion
Bttn HQ: 2 rifle squads, 2 trucks, 1 car, 1 radio van
Signals Platoon: 1x Kfz 2 pack radio car, 4 radio trucks, 2 radio vans
1st Armoured Car Company: CHQ: 1(8 man) rifle squad, 1 car, 2 M/C Combos
1 platoon: 2x Sdkfz 231, 1x Sdkfz 232 8 rad
1 platoon: 2x Sdkfz 222, 1x Sdkfz 221 or Sdkfz 223
2nd Light Recce Company:
CHQ: 1x Sdkfz 250/3, 1 M/C Combo, 1(6 man) rifle squad
1 platoon: 1x Sdkfz 250/10, 3x Sdkfz 250/1, 4(4 man) rifle squads
1 platoon: 4x Sdkfz 250/1, 4(4 man) rifle squads
3rd Support Company: CHQ: 1(5 man) rifle squad, 1 truck
1 Pioneer Platoon: 1(4 man) rifle/engineer PHQ squad, 1x Kubel,
2(5 man) rifle/engineer squads, 2 GPMG, 1 truck
1 A/T Platoon: 1x 5cm PAK38, 1x Sdkfz 10 or truck, 1 ammo truck
1 Gun Platoon: 3x Sdkfz 250/25mmL73 French anti-tank gun
4th Beute Battery: 2x 25pdr field guns, 3 trucks, 4 cars, 1 OP Team
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For the British, it does depend on the regiment and the time of year, as has been stated. For example some units in mid 1942 starting receiving a few Daimler II armoured cars, so some Troops were mixed with 1x Daimler II and 2x Humber III.
Commonwealth units are different again, The Aussies and New Zealand also using tanks for example.
For really detailed German organisations, it would be worth downloading the files on the Niehorster site, vols 3/I and 4/I have some North African units in.
http://www.niehorster.org/011_germany/books_gwwii/index_vols.htmMark