Collocations for covered - adj.

be
become
remain
leave sb/sth
The car sped past, leaving us covered in mud.

well
Make sure all cooked meat is well covered.

absolutely, completely, entirely, fully, totally
densely, thickly
The ground is densely covered with large trees.

evenly
sparsely, thinly
the ground was sparsely covered with grass.

permanently, temporarily
60% of the land is permanently covered in ice.

by
Each body was covered by a blanket.

in
I was covered in blood.

with
The path was now completely covered with thick snow.

covered from head to foot, covered from head to toe
He crawled out, covered from head to foot in soot.

Covered is used with these nouns:
market, porch, terrace, wagon