Did Austria-Hungary and British Empire exist in the same era?

Yes, the two civilizations both existed around 1867 CE.

Which lasted longer, Austria-Hungary or British Empire?

British Empire lasted longer (414 years).

Austria-Hungary: Orta Avrupa; British Empire: Avrupa

Austria-Hungary (1867 CE – 1918 CE) and British Empire (1583 CE – 1997 CE) lived in the same era.

A multinational Dual Monarchy. The assassination at Sarajevo, which sparked the First World War, was an event involving this state.

The empire with the most extensive territory in history. It was referred to as "the empire on which the sun never sets."

Did Austria-Hungary and British Empire exist in the same era?: Yes, the two civilizations both existed around 1867 CE.
Which lasted longer, Austria-Hungary or British Empire?: British Empire lasted longer (414 years).
Which regions did Austria-Hungary and British Empire rule?: Austria-Hungary: Orta Avrupa; British Empire: Avrupa