Check out the links at the Mises Wiki article.
And there’s these:
Supply-side & trickle-down economics
(Supply-Side vs. Demand-Side) vs. Austrian
Austrian economics opinion of Trickle down and supply side economics
I want to hear the libertarian’s opinion on ‘Trickle-down theory’
Is the Austrian School a supply-side school?
:EDIT:
Tax Cuts, "Trickle-Down"Economics, & Graph Refutation.
Thomas Sowell [although not an Austrian] states Trickle-Down Theory is a strawman of Supply-Side Economics.