Li'l Brudder is a 
Maliwan Grenade.
Its special effect is Li'l Brudder - On Attach, spawn additional Grenades Every other Grenade spawned gains the same Element as the currently equipped Gun.
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How to Unlock The Legendary Li'l Brudder Grenade
Legendary Loot
Ordnance
Overview
How To Unlock
Unlock Location:
- Progress through the FL4K and the Last Resort DLC.
Farm Method:
- Defeat Big Bada Boom Drone on the Volcano event to get a chance at the Li'l Brudder.
- Repeatedly defeat Big Bada Boom Drone until the Li'l Brudder drops.