Kirshna - since you also want to debug the application, I would stick solely with CCS.
I know very little (basically nothing) about Lauterbach *.cmm files so I can't really provide much help there but by taking a quick peek at it, it looks like it is configuring two regions for programming, both in internal flash. Internal flash is properly defined in the tms570ls3137.gel file. So starting a debug session for tms570ls3137 using that gel file (which should be used by default) will have set the debugger memory map correctly so you can flash your executable. I assume you are flashing an executable with debug symbols (*.out file) since you said you want to debug it and I can decipher from the *.cmm file that debug symbols and *.out files are referenced. Your executable should already have the information for the programmer to flash to the correct locations. While the debugger memory map will be properly configured by the gel file.
Thanks
ki