: according to : based on Students were chosen/selected on the basis of their grades and test scores.

What does it mean to say on what basis?

: what was considered in making a selection?

What does on going basis mean?

If you really want a definition for "on an ongoing basis," then perhaps "continuously" fits the bill. Or "now and in the future." But the verb in your sentence is "is," which in no way implies that the effectiveness of the relationship is about to come to an abrupt end.