If you are looking for logging information about batch you could check the FRLogging.log file if this is 11.1.2.x version. You could also make loglevel to TRACE:32 which will give extended information in the log.
Refer the document : http://docs.oracle.com/cd/E40248_01/epm.1112/epm_troubleshooting.pdf to get more information on logs.
Unfortunately FR is not designed with more options for logging, as Krishna mentioned FRLogging.log is the only location we can trace some information about FR related activities.
1. Navigate to MIDDLEWARE_HOME/user_projects/domains/EPMSystem/config/fmwconfig/servers/<Financial Reporting >/logging.xml change the log level to TRACE. (Note: Be sure that you take a backup before modifying the file).
2. Navigate to MIDDLEWARE_HOME/user_projects/epmsystem1/config/Financial Reporting/logging/logging_ra.xml change the log level to TRACE. (Note: Be sure that you take a backup before modifying the file).
An automated export of log files after capture is not available,however you can try a couple of things
1.) Increase logging levels so that the logs capture extensive detailing.
2.) Create a customized script at an OS level to export these log captures to a predefined destination
Look for a table called FR_SCHEDULER_DATA. It has a column called XML (BLOB) which stores all the information about time, what members were bursted,....
Start with the first JOBSTATUSMESSAGE
<JOBSTATUSMESSAGE INDEX="0" KEY="4106" LF="true">
<PARAMETER PARAMETERINDEX="0" PARAMTYPE="String" PARAMVALUE=""My Sample Reports/Batches/Management Pack 1""/>
<PARAMETER PARAMETERINDEX="1" PARAMTYPE="Date" PARAMVALUE="1402955727248"/>
PARAMVALUE of Date is epoch date and converts to Monday, June 16, 2014 4:55:27 PM CDT
If the JOB_STATUS (STATE in the table) is 2 (successful) then you'll find another STATUSMESSAGE with the end time
<JOBSTATUSMESSAGE INDEX="26" KEY="4123" LF="true">
<PARAMETER PARAMETERINDEX="0" PARAMTYPE="String" PARAMVALUE=""Management Pack 1 2nd Run""/>
<PARAMETER PARAMETERINDEX="1" PARAMTYPE="Date" PARAMVALUE="1402955744832"/>
Converts to Monday, June 16, 2014 4:55:44 PM CDT