Improved methods for a surgical repair of a muscle are described. The improvement includes covering a damaged site of muscle with at least one of an amniotic fluid and a replacement cover for muscle sheath prior to wound closing during the surgery. The replacement cover contains at least one layer of human amnion and chorion tissues and is adapted to a shape appropriate for enclosing the muscle. The methods reduce inflammation, inhibit fibrosis, scarring, fibroblast proliferation and post-operative infection, while also promote more rapid healing and smooth gliding of the affected muscle against adjacent structures. Related replacement covers, kits and methods of preparation are also described.