What are 3 criteria for acceleration?

I don't think you mean 'criteria'.  I think you mean three occurrences or
observations that indicate the presence of acceleration.

They are:

-- an object is speeding up
-- an object is slowing down
-- the direction of an object's motion is changing .

Any one of these changes is acceleration.

There's a single term that covers them all.  It is "change in velocity".