I just hit the same issue. Check that you are using the microUSB cable that came with the Turbo Power charger. I had accidentally switched around my USB cables with a generic one, and noticed that my phone was charging slowly, even after reseating both cable connectors. When I replaced the generic cable with the original cable, it enabled TurboPower charging straight away.
Not sure if this is a case of the cheap cable having thinner power lines (i.e. higher resistance) or if the charger detects that this is the "right" cable. The original cable has a longer plastic lump on the microUSB end than the generic one, and it could be that there is a bit of circuitry in there that is needed for the phone to negotiate the faster charge with the charger, or that the phone checks whether the cable has a low enough resistance on the power lines to support higher current charging. If someone has access to the spec for Quick Charge 3.0 (a Qualcomm chipset feature which looks to be marketed as TurboPower by Motorola) feel free to revise this answer with the real deal.
FWIW, unless your mains connection is bad to the point of arcing, or you are in a severe brown-out, the power draw from the charger is not enough to see any problems from mains extension cords or power boards. These are the output specs from the product page for Motorola's TurboPower 15 wall charger:
Standard: 5V / 1.67A (8W)
TurboPower: 9V / 1.67A (15W)
TurboPower: 12V / 1.2A (15W)
So unless the voltage is very low due to some large load on the same power board, or a mains plug is making poor contact, it is unlikely that the charger will have problems drawing ~200mA from the mains.