They are relatively same. While conservation agriculture seeks to ensure that CURRENT agricultural practices ( in soil, crop , animal, agroforestry and human capital management) are sustainably executed, Regeneration agriculture seeks to reverse the errors in previous non sustainable practices. One may classify the avoidance of indiscriminate cutting down of forest as conservative while the planting of trees in deforested areas is Regenerative
Hi Ajay, interesting question indeed. If you conceptualize these two terms, then you will find there is a clear difference.
Conservation agricultural is a filed practice (by minimum soil disturbance, permanent soil cover with crop residue or living mulch and crop rotation or intercropping) to make your land sustainable. So that these practices will keep your land fertile and long-lasting. Your land will always stay fully functioning by natural processes.
But if you have any land that is not functioning well due to the conventional practice and poor maintenance. Then you need to find a solution how can you get you land functioning well as previous. At this moment, the specialist will recommend that go for long term conservation agriculture in your field so that your field will recover day by day into a fully functioning pattern. So that this procedure (applying conservation practice) you follow is a regenerative farming practice.
If you have a land and from the beginning, you are following conservation practice then you don't need to go for any regenerative farming practices in your land (as your land continuously farming well).