here's a good way to secure a screen to a lid that is escape proof. First you need to get a couple of things
......
1/4" hardware cloth
door screen (that black fine screen)
metal screws, washers and nuts
drill
-cut the screens about 2" larger than the hole in the lid
-put the door screen down first then the hardware cloth
-put the screws on from the inside of the lid so they stick out on the outside, ofcoarse pre-drill the holes!
-make sure the washers and nuts that fit the screw are larger than the 1/4" gaps in the hardware cloth.
-9 screws in a 7" diamater hole will suffice.
using this method the screen won't budge