An absorbent pad has a cover formed of non-woven fibrous material, which is coated with a fluorocarbon polymer and odor absorber(s). The cover sheet is apertured around a critical zone to overcome undesired surface tension effects. The method of producing the cover includes providing a water-based mixture that includes 1% by weight of a fluorocarbon composition. An odor absorbing reagent is added to the mixture which then is applied to a nonwoven web of fibrous material. The treated web is dried to remove the excess water from the mixture, and the fluorocarbon composition component is cured to form a hydrophobic coating around the reagent and to bind the reagent to the web. The drying and curing steps can be accomplished by applying a flow of air heated to a temperature in a range from about 100.degree. C. to about 120.degree. C. to the web until the water has been removed.