Question

After I give my cat a treat, he always licks me with his scratchy tongue. Which is the direct object of this sentence? treat me he tongue

Answer 1

he because it is who you are talking about

Answer 2

Me/I, the person. (the receiver of the action) "after I give my cat a treat" is just a dependent clause and not the main part of the sentence.
Just look at he always licks ME with his tongue