Formula to automatically fill in a Column with preexisting data?

Hi,

This really has me stumped. My workbook has two worksheets, with one table on each page. I am trying to get Column A on worksheet 2 to automatically fill in the initials based on the fact the column B has the same names.

For example.
Worksheet 1 has three fields: Initials, Product, Category. All are already filled in.
Worksheet 2 has a blank initials column. The Product column has the same names as in worksheet 1 already filled in.

sample 1.jpg
sample 2.jpg

Please see the example.

Thank you very much.