Paper Egg Trays
Egg tray, Compressed paper, Cardboard, Egg carton
Blue Bins & Chutes
Recycle as Paper
This kind of paper can be recycled like any other paper product. See here for options.
Note: This is very low value paper so sometimes the karung guni may not want to take it.
Tips & Suggestions
Some egg sellers are happy to take these back.
And of course you can reuse them when you buy more eggs at the wet market.