The well-known Halacha of "Tashlumin" allows a person to make up a missed prayer by reciting an extra Amida at the subsequent service. Thus, for example, a person who forgot or was unable to recite Shaharit recites an extra Amida at Minha, and a person who forgot or was unable to recite Minha recites an extra Amida at Arbit. The first Amida which one recites is the Amida of the current prayer, while the second Amida is recited as the "make up" prayer. In the case of one who forgot to recite Shaharit and recites an extra Amida at Minha, the first Amida is recited as the Amida for Minha, and the second Amida makes up for the missed Shaharit prayer.
An interesting question arises in situations where the Amida of the current prayer differs from the Amida that was missed. One example of this situation would be a case where one forgot to recite Minha on Ereb Rosh Hodesh, and must therefore recite an extra Amida at Arbit that night. Of course, on Rosh Hodesh one must add Ya’ale Ve’yabo in the Amida. If a person recites on the night of Rosh Hodesh an extra Amida to make up for the Minha prayer which he missed, does he recite Ya’ale Ve’yabo in the extra Amida? On the one hand, he recites this prayer on Rosh Hodesh, when Ya’ale Ve’yabo is required, but on the other hand, this prayer is recited in lieu of the prayer that was to have been recited on Ereb Rosh Hodesh, when Ya’ale Ve’yabo is not recited.
The Halacha in this case is that one indeed adds Ya’ale Ve’yabo in the make up prayer, since it is recited on Rosh Hodesh. It should be noted that if he forgets to recite Ya’ale Ve’yabo in either Amida, he has nevertheless fulfilled his obligation and does not need to repeat the Amida. Halacha does not require a person to repeat the Amida if he forgets to recite Ya’ale Ve’yabo in Arbit on Rosh Hodesh, and this of course applies in the case of a "Tashlumin" prayer, as well.
A more complex question arises in the case of one who forgot to recite Arbit or Shaharit on Shabbat. Each of the Shabbat prayers features a different text; we recite "Ata Kidashta" during Arbit, "Yismah Moshe" during Shaharit, and "Ata Ehad" during Minha. If a person forgot to recite Arbit on Friday night, and must therefore recite an extra Amida on Shabbat morning, which Amida does he recite as the "Tashlumin" prayer? Should he recite "Ata Kidashta" – the Amida for Arbit – or "Yismah Moshe" – the Amida for Shaharit? Similarly, if a person must recite an extra Amida at Minha because he missed Shaharit, should he recite "Yismah Moshe" – the text for Shaharit – or "Ata Ehad" – the text for Minha?
Hacham Ovadia Yosef (listen to audio recording for precise citation) cites different views in this regard. Based on the ruling of the work "Shalmeh Sibur," Hacham Ovadia concludes that both views are equally valid. Thus, in these cases one may recite for the make up prayer either the text of the prayer that was missed, or the text of the current prayer service.
Summary: If a person forgot to recite Minha on Ereb Rosh Hodesh, and must therefore recite an extra Amida that night, he recites Ya’ale Ve’yabo in both Amida prayers, even the second Amida, which is recited in lieu of the missed Minha prayer. If a person forgot to recite Arbit on Friday night, and must therefore recite an extra Amida at Shaharit, he may recite for the extra Amida either the text of "Ata Kidashta" (which is recited on Friday night) or the text of "Yismah Moshe" (which is recited Shabbat morning). Similarly, if one forgot to recite Shaharit on Shabbat morning, and must recite an extra Amida at Minha, he may recite for the extra Amida either the text of "Yismah Moshe" (the Shaharit Amida) or the text of "Ata Ehad" (the Minha Amida).
