Please help with this veins post abdominal Lipo phenomenon. Any suggestions? (photos)

Thank you for sharing your question and photographs and congratulations on your liposuction procedure.  I have seen this take place in patients but more commonly in the opposite temperature conditions as yourself - worsens with heat and improves with cooling.  This vein prominence is temporary and tends to resolve spontaneously given enough time.  Hang in there and allow yourself at least a couple of more months to see improvement.  

Mottling of the skin after liposuction is a fairly common occurrence.  Although most people believed they are healed from surgery in just a few weeks or a couple of months, healing actually continues internally for about a year.   It will likely slowly improve over the next several months.