Since G is finite, there is no problem with just repeating the proof in the case G=e$G=e$, using Z$Z$-graded homotopy group functors on the orbit category. Take D^{\leq n}$D^{\leq n}$ to be the spectra whose homotopy groups \pi_q(X^H)$\pi_q(X^H)$ are zero for q>n$q>n$, and dually for D^{\geq n}$D^{\geq n}$. The intersection for n\leq 0$n\leq 0$ and n\geq 0$n\geq 0$ consists of the Eilenberg-MacLane G$G$-spectra K(M,0)$K(M,0)$ for Mackey functors M$M$. Peter
Peter May