Here are some Jain baby boy names starting with Mu / Moo:

1. Mudit — joyful, happy
2. Muditraj — king of joy
3. Mukhil — cloud-like, gentle
4. Mukund — one who gives moksha; also a revered name in Indian tradition
5. Muditanand — blissful joy
6. Mookesh — calm, silent, composed
7. Munit — wise, saintly, disciplined
8. Munindra — lord of sages
9. Munisuvrat — name of the 20th Tirthankar
10. Munish — lord of sages, ascetic
11. Mukhesh — leader, face; a modern-sounding name
12. Muditveer — joyful and brave

If you want, I can also give:

• only Tirthankar-related Jain names
• modern Jain names
• names with meanings in Gujarati/Hindi