Loop Through Column, Populate Values In Another Sheet With Matching Identifiers

Hi,
I am looking to build a macro that loops through a column of identifiers with values in the adjacent column, then search a column in another sheet for the same identifier that can repeat and populate the adjacent cell with the value in the first sheet.
See attached example.
Thank you,

Said another way I need

for each item in column list
find all identical items in another list
populate adjacent cell