Q. I missed the first rakat of Eid salah? What was the make up method. I missed the takbeers. So what must I do next time?

A. A person missing the first rakat of Eid salaat must stand up to complete his second rakaat. Naturally, he would recite hamd (subhanakAllaahumah etc); thereafter, he would recite surah Fatihah and a surah thereafter. He would not make the missed takbeers at the onset. Prior to going to ruku, he would make the missed the takbeer of the first rakat.

The above method would prevent takbeers coming consecutively (back to back). We do not see the sahaaba doing otherwise as well.

As far as a next time is concerned, merely just be on time, that way you can gain the maximum benefit from the Eid salaah.

Allah certainly knows best.