Dear Rabbi, In the synagogue on Shabbats, the order of prayer is reading Amidah, Torah, Mosaf, Aleinu. How about at home when one is not going to read from Torah? Do I read Mosaf right after Amidah? Or there is a need for any other order to follow? Thank you for your time.

ב"ה Shalom, I wanted to write a detailed answer, but I'm afraid I won't have time for that before Shabbat in Jerusalem . Perhaps, I will add details later. Without provoding full circumstances why the person is unable to be Shul, I will answer as follows: After Shacharit, while not required to read the torah without a minyan you may wanr to read the Parsha to yourself. Before Musaf there is Yakum Purkan. since it is in Aramaic, some do not say it at all while alone, but some say the first paragraph only. Then depending what else is happening that Shabbat, Av Harachamim is said, the Ashrei , the Musaf. All the best. Have a Shabbat Shalom