Export table data from one SQL Server to another

Try this:

1. create your table on the target server using your scripts from the Script Table As / Create Script step

2. on the target server, you can then issue a T-SQL statement:

   INSERT INTO dbo.YourTableNameHere
      SELECT *
      FROM [SourceServer].[SourceDatabase].dbo.YourTableNameHere
   

This should work just fine.

Just to show yet another option (for SQL Server 2008 and above):

1. right-click on Database -> select 'Tasks' -> select 'Generate Scripts'
2. Select specific database objects you want to copy. Let's say one or more tables. Click Next
3. Click Advanced and scroll down to 'Types of Data to script' and choose 'Schema and Data'. Click OK
4. Choose where to save generated script and proceed by clicking Next