Bilge/battery hatch taking on water

[Buckshot]

I have an 87 v20 steplift with a outboard 175 Johnson. Anytime I have the stern facing seas water comes inside and over the transom and drains out through the drain holes but it also leaks in through the bilge cover and into the bilge. The lid does have 4 screws to hold it in place. Don't know if that was the way it came from the factory. Anyone else having this problem and is there s fix?