Question

What is/are the direct object(s) in the following sentence?: The repairman did a great job repairing my TV.

Answer 1

Nice question and technical

Explanation:

Look, normal structure is

sub+verb+ indirect object+ direct object.

a great job==it is not an indirect object but direct object.
Sub+ verb + direct object + preposition+ indirect object.
here my tv is not an indirect object too.

So?

job and TV both are direct objects.
Structure is
Sub+verb+noun(pro) + present participle ==repairing. .

This also a common structure by The Oxford advanced learner's dictionary.

Hope it works.