Aiming　at　the　high　complexity　of　non-linear　combined　quantization　caused　by　constellation　biased　distribution　in　lattice　reduction　aided　(LRA)　multiple　input　multiple　output　(MIMO)　detection,　a　sorted　feedback　non-linear　quantization　scheme　is　proposed.　It　considers　the　border　of　transformed　constellation　and　the　correlations　between　elements,　meanwhile,　the　element　is　selected　to　be　quantized　according　to　the　value　of　the　quantization　errors.　Simulation　shows　that　the　performance　of　LRA　MIMO　detection　based　on　this　quantization　scheme　is　superior　to　the　performance　of　LRA　MIMO　detection　based　on　non-sorted　feedback　and　independent　element　quantization.　Furthermore,　the　LRA　MIMO　detection　based　on　the　proposed　scheme　can　approach　the　performance　of　maximum　likelihood　detection　in　polynomial　complexity　in　a　flat　fading　channel.