how to write the new data into different Feature Classes into Esri arcsde ?

From the article Writing Geodatabase Relationship Classes
https://support.safe.com/hc/en-us/articles/25407490028813-Writing-Geodatabase-Relationship-Classes

FME cannot create the relationship class in the target geodatabase. Either create the relationship class in ArcGIS/ArcPro, or use a template.

If you really need to do this dynamic, it should be possible to use FME to create / update an XML Workspace Document which the GDB FeatureWriter then can use to generate the empty gdb with featureclasses / tables / relationship classes. But I never needed this, so no example.

The Python route is probably more convenient. (Using PythonCallers to create GDB, FeatureClasses etc.)

I’m quite sure, to write relationships, you will need a Standard ESRI license.

@nielsgerrits

As first target 

that I would like to create new junction by FME then adding  this junction  into related Esri tables .will be possible ? 
And I would like to change the geometry of line and write over into the  table  ,how could I achieve it ?

Yes, check the linked article, it describes step by step how to do it.

If you want me to make a workspace, please supply a source dataset and a target database and I’ll try.