That sentence should read He doesn't seem to bother about it. 'seem' (no -s ending) is a bare infinitive. So, there is only one verb left to change into the past tense.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
Chandrasekhar ReddyHe did not seem to bother about it. Is it correct?Yes.