Hello, Nicole,
Molarity is defined as moles/liter. Determine the number of moles of barium acetate by dividing its mass by its molar mass, which I believe is around 255.5 g/mole. The division 20.3 g/255.5 g/mole will give the number of moles. If you put that into a liter, it would be the concentration in Molar. But you are only using 375ml, which is 0.375 liters. So divide the moles by 0.375 liter, and you'll have Molarity (moles/liter).
The formula is Ba(CH3COO)2. We have two acetate groups per molecule and only 1 for Ba. So the concentration of the barium ion is the same as the barium acetate molarity. But we get two acetates, so the acetate concentration is 2 times that of the barium acetate.
I hope this helps,
Bob