The author, may Allah have mercy on him, has stated the manner of turning only in general terms.
Some scholars said that he turns to the right for “Come to prayer” both times, and to the left for “Come to success” both times. (1)
Others said that he turns to the right for “Come to prayer” the first time and to the left the second time; likewise, for “Come to success,” he turns to the right the first time and to the left the second time, so that each direction receives its share of both “Come to prayer” and “Come to success.” (2)
However, the well-known view—and what is apparent from the sunnah—is that he turns to the right for “Come to prayer” both times, and to the left for “Come to success” both times. He should, however, turn while saying each complete phrase. (3)
What some callers to prayer do—saying “Come to” while facing the qiblah and then turning—is without basis. The same applies to the taslīm: some imams say, “Peace be upon you,” before turning, then say, “and the mercy of Allah,” as they turn. Neither practice has any basis.
Note: The wisdom behind turning to the right and left is to convey the call to those on the right and those on the left. Accordingly, one who gives the adhān through a loudspeaker should not turn, because the sound is transmitted through the speakers on the minaret; if he were to turn, his voice would become weaker, since he would turn away from the microphone.