Off per GM recall. The proper term is "fuel injector sight shield."
https://www.wholesalegmpartsonline....assembly=401312&ukey_product=2667801 Although after typing that, I see that GM in their recall also calls it "The engine's plastic "beauty" cover," and their recall states to remove it and discard it. (Step 1.4)
https://static.nhtsa.gov/odi/rcl/2015/RCSB-15V701-1922.pdf
It's purpose is as ron350 stated; it is noise dampening and a scatter shield if the car back fires from a leaky injector it can throw plastic shrapnel.
IMHO, running it is optional; it's not going to hurt anything, but removal is necessary to do most anything on the top of the engine. I currently run 3 cars with this engine, two of them have the fuel injector sight shield in place, the 3rd one doesn't because it interferes with my supply lines feeding my bypass filtration...All 3 of mine are high milleage (150K+) and burn/leak NOTHING; run well.
Off topic, I'll get back. I've owned GM 3800 powered cars since 1994; myself and others LOVE these "bulletproof" engines. But the valve cover GASKETS were so notorious for leaks (causing engine fires when hot oil dripped of the exhaust manifold)
https://www.detroitnews.com/story/b...27/general-motors-engine-fires/74668924/
On later vehicles, GM "fixed" the fire problem by adding metal heat shields around the spark plug wires, but they're still absolutely notorious for leaking valve cover gaskets as they age. I've replaced all of mine with fel pro gaskets:
https://zzperformance.com/collections/3800/products/l36-l26-valve-cover-gaskets Tighten the valve cover bolts to 89 in. lbs.
I'm getting long here, I can tell you more about the "quirks" of these engines if you want to pm me.