What is the scientific name for washing soda?

Sodium carbonate (also known as washing soda or soda ash), Na2CO3 is a sodium salt of carbonic acid.

Scientific name for baking soda?

Sodium bicarbonate or sodium hydrogen carbonate is the chemical
compound with the formula NaHCO3. Sodium bicarbonate is a white solid
that is crystalline but often appears as a fine powder. Since it has
long been known and is widely used, the salt has many related names such
as baking soda, bread soda, cooking soda, and bicarbonate of soda.