I was trying to export data table with data but its shows some error in application log. Let me know how to export it.Also attached screen shots for your reference.
We don't see errors per se in the logs you attached, these are all "info" and "debug" level logs.
Did you check in the directory where you are exporting if you can see the .twx file containing the data ? For example, if you exported to SystemRepository, check following location : ThingworxStorage\repository\SystemRepository\<long series of numbers>\DataTables\Grid_Tree.
If the export is actually failing, please share complete Application logs.
I see the following lines in your Application logs :
2020-07-13 17:40:01.091+0530 [L: INFO] [O: c.t.p.c.a.AsyncExecutionHelper] [I: ] [U: Saranya] [S: ] [T: Worker-2] Task-1594641184192 Data Export File/Directory Name [20200713174001]
2020-07-13 17:40:01.092+0530 [L: INFO] [O: c.t.p.c.a.AsyncExecutionHelper] [I: ] [U: Saranya] [S: ] [T: Worker-2] Task-1594641184192 Data Export Task Done. Please check the logs for details.
It seems that the export succeeded. Please check at the following location to see if you find any data.twx file : ThingworxStorage\repository\SystemRepository\20200713174001\DataTables\Grid_Tree.