This topic has come up several times and I still have some of the notes on my laptop.
Deployment of Australian Army in the Far East December 1941
Malaya
2 Brigades of the 8th Australian Division (22nd and 27th Brigades)
Ambon & Timor
1 Brigade of the 8th Australian Division
Rabul
2/22nd Battalion
Naru & Ocean Island
A small artillery detachment
Solomons, New Ireland & Admiralties
1st Independent Company
New Caledonia
3rd Independent Company
The Militia was mobilised in December 1941. It had 114,000 men in 5 infantry and 2 cavalry divisions (1st to 5th Australian Divisions and 1st and 2nd Australian Cavalry Divisions), in full strength of men, if not weapons and equipment. The 2/40th Battalion was sent to Timor and the 2/2nd Independent Company was sent to Portuguese Timor.
Forces in Australia - 1st Quarter 1942
1 Armoured Division with hardly any tanks
7 Militia Divisions incompetently trained and organised
Reinforcements
46,000 men of 6th and 7th Australian Divisions (less 1 Brigade in Ceylon)
63,000 men of AIF who had not left Australia
33,000 men in US 41st Division and some USAAF men
Organisation
1st Army
I Corps - 3rd, 5th, and 7th Australian Divisions
II Corps - 1st, 2nd and 10th Australian Divisions, plus 1st Australian Cavalry Division
2nd Army
1st Australian Armoured Division, 2nd Australian Cavalry Division and US 41st Division
III Corps
4th Australian Division
Northern Territory Force
Part 6th Australian Division
New Guinea Force
30th Australian Brigade. Joined by 14th Australian Brigade on 14th May
The source also says that there were eventually 12 infantry divisions (numbered 1 to 12) of which 8 were Militia and the rest belonged to the 2nd A.I.F.
At the end of 1941 the Second A.I.F. the 4 divisions (6th to 9th) consisted of 12 brigades (16th to 27th) and 36 infantry battalions (2/1st to 2/48th with gaps in the sequence).
It also said that in addition to the above the 2nd A.I.F. also had 4 pioneer battalions, 8 machine gun battalions, the Parachute Battalion, the Papua Infantry Battalion, four New Guinea infantry battalions, the Torres Strait Light Infantry Battalion, the garrison battalions, 8 independent companies (later named commando squadrons) and other unbrigaded infantry units not included in the above lists.
Although the Militia had 8 divisions by the end of 1942 they only had 18 brigades in July 1943 instead of 24 with an average of 3 battalions each. It also says that over the next 2 years 4 of these divisions ceased to exist and a 5th became a training formation. However, that could be because the threat to mainland Australia was receding.
Australian Armoured Forces
The source I used for the Ordbat of the Australian Army in the first quarter of 1942 also says that in May 1942 the armoured formations of the Australian Army consisted of:
1 Armoured Division (1st and 2nd Armoured Brigades plus divisional troops)
1 Motor Division - formerly the 1st Cavalry Division (1st and 2nd Motor Brigades plus division troops)
2 Motor Division - formerly the 2nd Cavalry Division (6 armoured brigade and 3 motor brigade, plus divisional troops)
3 Armoured Tank Brigade (1st, 2nd and 3rd Tank Battalions)
However, there weren't enough tanks in Australia to equip them with. The Australians couldn't obtain any from abroad quickly, hence the Sentinel tank programme.
To finish off its history, according to the Australian Encycopaedia:
The motor divisions had been formed from the peacetime cavalry divisions. A second armoured division, organized with one armoured brigade and one motor brigade, was formed by converting one of the motor divisions. It was hoped to form a third armoured division, but lack of manwpower prevented this. Thus by August 1943 the Armoured Corps was organized as follows:
1st Armoured Division (1st Armoured Brigade, 3rd Motor Brigade and divisional troops)
3rd Armoured Division (2nd Armoured Brigade and Divisional troops)
4th Armoured Brigade (1st Tank Battalion, 2/6th, 2/8th and 2/9th Armoured Regiments)
2nd and 3rd Tank Battalion Groups
Further reductions became necessary during 1943 and 1944, and by 1945 the Australian Armoured Corps had shrunk to 5 armoured regiments and one reconnaissance squadron. At the time there were also the 2/6th, 2/7th and 2/9th Cavalry (Commando) regiments, originally named Divisional Cavalry regiments.
This is the history of Australian tank production in World War II courtesy of Jane's World War II Tanks and Armoured Fighting Vehichles by Leland Ness
A handful of Vickers Medium Tanks had been purchased in the 1930s, but these were worn out by 1939. 10 Light Tanks Mk VIA were ordered in the Spring of 1936 and delivered in late 1937. A follow up order for 24 Light Tanks Mk VIB was placed on their arrival, but this was cancelled shortly after. About 5,000 Universal Carriers were built in Australia 1940-44. These were the only tanks in Australia until March 1942.
According to Ness the General Staff requirement for the AC-1 Sentinel was drawn up in November 1940 and the prototype appeared in January 1942, but only 66 Sentinel tanks were built between August 1942 and the termination of production was terminated in July 1943. 22 were built in 1942 and 44 in 1943. However, the Australians did built 15 LP series armoured cars in 1939, 245 Dingo scout cars 1942-43, 238 Rover light armoured cars 1942-43, and 5,661 Universal Carriers 1940-43.
The loss of the Dutch East Indies in March 1942 resulted in the diversion of 50 M3 light tanks and 148 Marmont-Herrington CTLS light tanks to Australia, which were taken over by the Royal Australian Armoured Corps (RAAC). The CTLS machines were only good for training, but the M3 light tanks complemented 10 that the RAAC had already received from the US for familiarisation, which came from the Australian allocation of British Lend Lease and 315 M3 light tanks (270 in 1942 and 45 in 1943) were received from this source. This source also provided 777 M3 Lee/Grant medium tanks which were delivered between March/April 1942 and the end of that year. The Australians also received British built Matilda infantry tanks which arrived from April 1942 and 304 were on strength by the end of the year and in 1944 they bought New Zealand's 33 Matilda close support tanks.
The source also says that the Americans sent 503 M3A1 scout cars, but does not give the dates. At least 97 British Staghound armoured cars were received in 1944 and the Canadians sent 171 scout cars.
So before March 1942 there are about a dozen tanks in Australia, but by the end of the year they have about 1,500.