acyl group is a specific type of carbonyl group. Carbonyl group is the umbrella term, acyl group is a term that falls under the carbonyl umbrella. Carbonyl group have three 'things' bonded to the central carbon atom. As you've shown, one of those things is always a double-bonded oxygen C=O. This C=O double bond is what defines a carbonyl. Carbonyl groups always have two other things, though. If one of them is a CH3 group, then that whole unit, H3C-C=O, is an acyl group. It is also sometimes called an acetyl group.