Hi,
The solution is:
1. Create local Windows accounts with the same user name /password on both servers if they are not in the same or trusting domains.
2. In your SQL Server on Server1 for example start SQL Server Agent on this local account that you created in step 1
3. In your job specify fully qualified path to the remote folder as \\Server2\MyShare
4. Give the Server 2 user that you created in step 1 permissions to the folder on Server 2
It should work. This is how they did it in the workgroups.
Let me know if you need more help