According to me, while comparing acidic strength, we should remove $\ce{H+}$ from both the compounds, hence we get $\ce{CF3-O-}$ and $\ce{CCl3-O-}$.
Now, we will compare stability using priority order:
Aromaticity > Resonance > Hyper-conjugation > Inductive effect
Now, we can see that, in $\ce{CF3O-}$ only inductive effect is applicable whereas in $\ce{CCl3O-}$ both inductive effect and d-orbital resonance can be seen.
So, as we know acidic strength is directly proportional to the stability of the conjugate base. In other words, it is only dependant on the stability of the negative charge on the compound, and as we can see the negative charge is more stable on (b) than in (a).
Therefore, the acidic strength order would be $\ce{CCl3O-}$>$\ce{CF3O-}$.