export puts a variable in the executing shell's environment so it is passed to processes executed by the script, but not to the process calling the script or any other processes. Try executing
#!/bin/sh
FOO=bar
env | grep '^FOO='
and
#!/bin/sh
FOO=bar
export FOO
env | grep '^FOO='
to see the effect of export.
To get the variable from 1.sh to 2.sh, either call 2.sh from 1.sh, or import 1.sh in 2.sh:
"When a script is run using source [or .] it runs within the existing shell, any variables created or modified by the script will remain available after the script completes. In contrast if the script is run just as filename, then a separate subshell (with a completely separate set of variables) would be spawned to run the script."