Dr. Makiya was born in Baghdad and educated in England, receiving his BArch at Liverpool School of Architecture and a diploma in civic planning from Liverpool University in 1941 and 1942, respectively. He completed his studies at Kings College, Cambridge, earning his PhD in 1946. He returned to Baghdad that same year and established Makiya Associates, an architectural and planning consultancy practice. During the 1950s he designed houses and commercial buildings and became increasingly aware of the heritage of Iraqi architecture.
Dr. Makiya was one of the original founders of the Department of Architecture at the College of Engineering, Baghdad University, in 1959. He remained head of the department until 1968. During subsequent years, Makiya Associates offices were established in Bahrain, Oman, London, Kuwait, Doha, Abu Dhabi, and Dubai.