Given a sheet like so:
Sheet 1
Product Name
-----------------
Fancy Shoes
Plain Shoes
Comfy Slippers
Nice Loafers
Pressed Shirt
Tee Shirt
Collared Button-Up
If there are only two words in each cell and the word that determines the category (ex.: Shoes, Slippers, Shirt, etc...) is always second, you can use the following INDEX/MATCH to get the category:
=INDEX('Sheet 2'!B$2:B$6,MATCH(MID('Sheet 1'!A2,FIND(" ",'Sheet 1'!A2)+1,LEN('Sheet 1'!A2)-FIND(" ",'Sheet 1'!A2)),'Sheet 2'!A$2:A$6,0))