@Danijela Grahovac
Well, 'they' are telling you in-correctly - almost - but not all. No mention of moodledata directory which is 1/3rd of a moodle app. Code + DB dump (sql file) + moodledata.
You can make an SQL dump of DB via phpMyAdmin that comes with MAMP. Save the .sql file to Desktop. MAMP has to be running.
For archiving code + moodledata ... probably best to use Terminal/command line. MAMP doesn't need to be running.
MAMP is in /Applications/MAMP/
your moodledata is in 'data' folder of MAMP.
To archive data, while in /Applications/MAMP/ issue this command:
tar -cvf ~/Desktop/moodledata.tar ./data/
To archive code, while in /Applications/MAMP/ issue this command:
tar -cvf ~/Desktop/moodlecode.tar ./htdocs/
When those finish, you should see both .tar files on Desktop.
Send them the .tar files + your .sql dump.
'They' should know what to do with them! ;)
Good luck!
'SoS', Ken