Bio-implantable textured tubular and sheet structures of un-sintered ePTFE are described. Such micro-textured structures stimulate robust development of beneficial bio-integative scar attachment to adnexal soft tissues. Methods for texturing one side of an un-sintered extruded ePTFE tube or sheet are also described. A select length of tubing of any thickness or diameter is applied over a matching mandrel and adhesively stabilized thereon by applying intense suction. The texture is made by “RIGDA tooling” into the wall thickness of the material and by removing undesired material by distraction and avulsion tooling and methods assisted by vibration, leaving intact the finished product. Disclosed is an implantable, non-attached, enveloping, conforming and supportive drainage cover for breast and other soft implants. The drainage cover has numerous through and through cut lucencies which allow for liberal ingress and egess of interstitial biologic fluids enabling efficient drainage postoperatively, especially under the influence of active wound suction.