Yes, BARILLA is a Scrabble word!

Letter values in Scrabble US: B 3, A 1, R 1, I 1, L 1, L 1, A 1.

Is it a valid word?

BARILLA is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

bushy plant of Old World salt marshes and sea beaches having prickly leaves; burned to produce a crude soda ash
Algerian plant formerly burned to obtain calcium carbonate

Also: salsola kali, salsola soda, halogeton souda.

Not playable in Scrabble US: KALI, KELPWORT.