Can a prayer be performed with the intention of both making up a missed (qada) prayer and performing a sunnah prayer at…

A prayer cannot be performed with the intention of both making up a missed (qada) prayer and performing a sunnah prayer at the same time. The specific type of prayer to be performed must be clearly determined and intended. If one intends both a qada prayer and the sunnah of the current time together, the prayer will only count as a qada prayer. Neither the qada prayer nor the sunnah of the time will both be fulfilled. (el-Fetâva’l-Hindiyye, 1/66)

Source: T.C. Diyanet İşleri Başkanlığı, Din İşleri Yüksek Kurulu