Hi lcjtaylor!
This is a Recipe I found some time ago in a Book - I didn't know that it was a Australian speciality until last year 

!
I find thouse very nice. Why not give them a try!!!
Ingredients 
For the dough: 
240 g flour 
5 g baking powder 
a pinch of salt 
125 g margarine at room temperature 
80 g Castor sugar 
2 large eggs 
5 ml vanilla essence 
90 g of milk 
For the chocolate sauce: 
260 g of powdered sugar (icing sugar) 
60 g cocoa powder 
40 g margarine 
90 g of milk 
Shredded coconut (I bought a package of 200 g and still left). 
Preparation 
Preheat the oven to 180 º C. Sprinkle pan and a square of 23 cm side and set aside. 
Put in the flour, baking powder and salt in TMX  and set 10 sec / level 6. - Put in a other cup. 
Without washing the TMX, pour the sugar and margarine and Set 1 min / level 4  
Next program the TMX 2 min / level 4 and whisk the eggs one by one and finally the vanilla. 
With the machine still running add the milk at a time. 
Finally add the flour and set about 30 sec / level 4 so that the mass is well mixed. 
Bake in prepared pan for about 30 minutes or until cooked through. 
Turn out the cake, let cool a little outdoors and then take it to the fridge for about 30 minutes. 
To make the sauce combine all the ingredients in and set TMX 6 min / temp 90 º / 4 level. 
Cut the cake into squares. Dip each square in chocolate sauce and then go through the coconut. 
Take to the fridge before serving. 
These are Delicious - I make them a lot but never took any photography of them - What a Pity!
regards 
isi
members' commentsDebs - Yum.  We made these this morning.  Taste great. Thanks for the recipe.  
Chelsea - We made the lamington cake but it was a bit too firm/heavy.  I wondered if it needed a bit more liquid in the mix to soften it as the batter was extremely thick.  I decided not to make it up into lamingtons and have frozen the cake to make into a trifle down the track.  Waste not, want not. 
Pam H - Thanks for the recipe isi, I made them and they did turn out a bit heavy too Chelsea but tasted delicious once they were finished. I wondered if I had done something wrong! Still learning TMX language but guess we are always learning something!! Had 3 grandkids here today and they finished off the lamingtons and said they were very delicious.
Thermomixer - Think I'd increase the amount of baking powder in the recipe ? or use Self Raising flour. Probably almost 2 teaspoons for 250g flour - but I may be wrong?  Not a big lamington baker.
JD - Most lamingtons I have tasted were made with sponge cake so these are obviously going to be heavier than that. Is the mixture like a pound cake texture?
Pam H - Yes judydawn I would say they are like pound cake texture or mine were anyway definitely not sponge cake that is why I thought I had done something wrong, still disappeared very quickly!!