I'm also not sure of the exact nature of the question, and suspect that there are possibly two questions.
Sensible questions galleypower, I interpret the first as being in isolation to the other -
(1) Aircraft Type A (E145) has to be flown with Approach Climb Speed during single engine go-around. The Approach Climb Speed is equals Vref.
Vref (presumably Flaps 45) is 1.3 X Vs, whereas the Approach Climb is typically performed with one of the Takeoff Flap settings (presumably Flaps 22). Takeoff V2 (min) is usually 1.2 X Vs, or 1.13 X Vs in later generation aircraft. Thus, and this is fairly typical of many aircraft, the Approach Climb at the lower Flap setting is at a speed approximating V2. Therein may lie the reason why the lower Vref speed is acceptable at the Missed Approach speed at the lower Flap setting.
(2) The normal (AEO) Vref for flaps 45 is corrected for the malfunction (+10kts). This is your new Vref corrected for OEI approach flaps 22. What would be the correct Approach Climb Speed? Vref or Vref corrected? Vref for flaps22 or 45?
I THINK that the malfunction that you refer to here is a "non engine fail" malfunction, for example, a Flaps or Stabiliser problem. In such cases the higher approach speed with a Vref for Flaps 22 is to ensure aircraft CONTROL. For example, with a failed stabiliser, you may not have enough elevator authority with Flaps 45 and it's lower approach speeds). If my assumption is correct, Flaps 22 is your Maximum Flap configuration, and Vref + 10 is your Mimimum speed for all operations, AEO or OEI, and during Approach or Missed Approach.
Having said all of that, my interpretation of your question/s may be incorrect, so disregard the fore-going!
Regards,
Old Smokey