First copy the ACLs:
getfacl --omit-header /your/file/or/directory /here > file.txt
this command store the current ACLs in file.txt.
setfacl -M file.txt /your/file/or/directory/here
this command sets the ACLs same as the stroed file.
To copy the file or directory while preserving ACLs, use the -p or -a command option (-R means recursive and that means with all subdirectories):
copy -R -p /your/source/dir your/teraget/dir
copy -R -a /your/source/dir your/teraget/dir
To copy files with ACLs from one computer to another use RSYNC:
rsync -avrzA /source/dir firstname.lastname@example.org.IP:/target/dir
-A parameter means: preserve ACLs (implies -p).
-z: compress during copy