I'm not sure if I recall correctly, but I think that the 1,4-di-t-butylbenzene alkylates to form the Meisenheimer complex, as you would expect for a typical Freidel-Crafts alkylation, but the adjacent t-butyl group is too large for direct elimination of the hydrogen to re-aromatize, so there is a 1,2-hydride shift to give the tetrahedral carbon at the 4 position of the ring. The t-butyl group on that carbon can then fall off to regenerate a tertiary carbocation and leave 1,3-di-t-butylbenzene. Eventually, that t-butyl carbocation will find the 5 position of the ring and do a normal Friedel-Crafts to get to your product.