I don't think there's a way to make it grow any faster but pausing it slows down how long it takes for it to evolve. Just don't pause it and it'll grow normally.
Tamagotchis evolve using a special hidden mechanism similar to a timer.
The timer tells the tama to evolve after the tama is exactly 24 hours old--not necessarily 24 hours of actual time.
Unless you use hyperspeed by debugging (which I strongly advise against diong for reasons other than experimental purposes) there is NO way to make your tama evolve faster.