The invention relates to a diaper or adult incontinence garment (10) comprising a backsheet (12) and a sublayer (30) for acquisition of bodily exudates and storage of feces, comprising at least a first acquisition layer (37) and optionally a second (36) and further acquisition layers, and said member comprising one or more regions (43) with a multitude of through or blind holes (31), said sublayer providing a very efficient and effective feces isolation away from the skin and at the same time excellent liquid acquisition. Said region(s) of the sublayer (30) have a total open area of from 10% to 50% of the total surface area of said sublayer (30) (as measured on the surface facing the user), and said holes (31) have an average smallest dimension( as defined herein) of at least 3 mm, and said sublayer (30) has an average caliper (34) of from 2 mm to 6, and said sublayer (30) has an average caliper loss (wet resilience) after wetting and under pressure of 0.3psi,