From Halopedia, the Halo wiki
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Brovershield is an achievement in Halo: Combat Evolved Anniversary and Halo: The Master Chief Collection. It is awarded for completing any level cooperatively on Heroic difficulty. It is worth 20 Gamerpoints in Combat Evolved Anniversary and only 10 points in The Master Chief Collection. Receiving this achievement also unlocks the Standard Operating Brocedure achievement if the player hasn't already completed a level cooperatively on Normal.
In the original HCE: Anniversary it is represented by two M41 rocket launchers over the difficulty shield. In The Master Chief Collection it is represented by a screenshot of an archipelago on the map Awash.
The achievement is a play on the word "Overshield."