There are two openssl recipes in poky/meta/recipes-connectivity/openssl
When i build the image with openssl, then libcrypto.so.1.1 is only present. I want to have both versions of libcrypto into rootfs. I tried adding IMAGE_INSTALL += "openssl10", but it didn't work
You want to install libcrypto10 package.
Else than reading the recipe, you can find this info by running oe-pkgdata-util find-path "*libcrypto*".