Need to find 2" utility sink drain
You need a "Laundry Tub Strainer". They are available at any good plumbing shop (notice I did not say "Big Box Home Improvement store") or online at what I think is the largest online retailer on earth (starts with A, ends with N, Z in the middle).

This one fits a 2" hole, the upper flange diameter is 2 3/4":



Specs are here:
laundry tub strainer assembly