All bullets ignore shields (20% per rank) and increases bullet damage (1% per rank).
Trespass is a Tier 4 skill in Mordecai's Sniperskill tree. It grants the user's bullets a chance to ignore shields (20% per rank) and increases the bullet damage of those attacks (1% per rank).
Trespass only affects the actual bullet damage of a weapon (this value is the "Damage" heading shown on a weapon's stats). Elemental proc damage and DoT will degenerate an enemy's shield before affecting his health. For this reason, it is most effective to use a high-power, non-elemental weapon, such as Whitting's Elephant Gun, for the maximum benefit.
Trespass is highly effective against Guardians, due to the fact that it allows the player's bullets to penetrate their powerful shields and directly damage their fragile health.
This skill can essentially eradicate the need for Shock weapons/grenades, allowing Mordecai to focus more on his affinity for Corrosion.
Although technically not bullets, scattershot projectiles from shotguns and Masher revolvers also gain the benefit of this skill.