1. He made the robot happily.

(Does 'happily' modify the verb 'made'?)

2. He made the pressure cooker repaired by the repairman.

3. He made the repairman repair the pressure cooker.
(Are both grammatical and have the same meaning?)

If you want the adverb to modify the verb, then move it next to the verb. Otherwise it seems to modify "robot" which is very strange!

He happily made the robot.

3 is correct; 2 is incorrect (doesn't really make sense).