The best data on this topic that I'm aware of comes from the Atlas of Global Christianity, which describes how Christian missions has changed between 1910 and 2010 (unfortunately, if it does include tradition-level data, I don't have access to it). An overview report summarizes its findings:
The growth in missionary sending from the Global South is apparent in these pages but lags behind the demographics of church membership.1
By continent, we see both the raw number of missionaries sent, as well as the number per million church members, in both 1910 and 2010:1
1910 | 2010
#Sent #/mil. | #Sent #/mil.
Africa 350 30 | 20,700 44
Asia 300 12 | 47,100 135
Europe 39,950 99 | 132,800 237
Latin America 400 5 | 58,400 107
North America 20,400 223 | 135,000 596
Oceania 600 106 | 6,000 255
Total 62,000 101 | 400,000 184
Thus, we can clearly see that Asia, Latin America, and Africa have all jumped dramatically over the last 100 years in the raw number of sent missionaries. Asia and Latin America in particular now send much higher numbers of missionaries compared to their number of church members.
That said, the global South still lags in the latter metric, compared to the global North: North America still sends, by far, the most missionaries per church member. Still, we see evidence of a diminishing gap in that nine of the top 20 countries sending Christian missionaries are in the global South. Brazil (2), South Korea (5), and India (9) are in the top 10, and South Africa, the Philippines, Mexico, China, Colombia, and Nigeria in the next group of 10.2
The report concludes:
Over the past 100 years, as global Christianity has been shifting gradually to the South, the number of foreign missionaries sent from the South has been increasing. In 1910 the vast majority of missionaries were sent from Europe and Northern America to Asia, Africa, and Latin America. In 2010 the sending of foreign missionaries is more even across continents, although Europe and Northern America still have much higher per-capita sending rates than most countries of the Global South.1
- "Christianity 2010: A View from the New Atlas of Global Christianity." International Bulletin of Missionary Research, Vol. 34, No. 1.
- Atlas of Global Christianity, cited in Christianity in its Global Context, page 76.