Installing cabinets on exterior concrete wall
Why not install a section of plywood instead of the 2x6 strips. You can use adhesive to install the plywood onto the drywall. Cut the plywood smaller than the cabinet, so it is not visible. Install it using washers with your anchors. If the anchor heads do not site flush and interfere with the cabinet mounting, you could install some furring strips.
If there is a visibly large gap at that point around the cabinets, then you could install filler strips or some narrow molding, to hide the gap.
?? just my 2 cents ??
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