Factual error: In the opening sequence when Maddie is supposedly driving from Michigan through Ohio and back to Pennsylvania, you can very briefly spot the reflection of a "TD Canada Trust" in the car window. This is because the show is actually shot in Vancouver. In the United States the company is simply known as "TD Bank", which doesn't operate any branches in either Michigan or Ohio. (00:01:55)
The World Needs Heroes. Over. - S2-E9
Other mistake: The Doctor, coming up from the basement of his house, is locking both deadbolt locks using a key held in his right hand. He logically would use the same hand to put the key in his upper left pocket. Richard who is watching through binoculars uses a walkie talkie to inform both Ezra and Jules that the Doctor has put the keys in his upper left pocket. However, the next scene shows the Doctor with keys now in his left hand placing the keys in his upper right pocket. This doesn't match what Richard says he observed. (00:24:42)
The World Needs Heroes. Over. - S2-E9
Factual error: They go to New York and get the hotel room, but they are filming from the Canadian side of Niagara falls.
Always Forward, Never Back - S1-E10
Continuity mistake: When young Maddie (while pretending to be Nicky) opens the door to greet her cousin, Danny, first her hair is up. Then, briefly, we see her hair down, and in the next shot, it's up again. (00:05:43)
That's Enough. Off You Go. - S2-E6
Continuity mistake: When Maddie first meets Cy at the nursing home there is a gin case open in the foreground, but he offers her gin a few moments later and only then opens the box..
Factual error: Just after the group emerges from the cars and splits up, you can see at least one building with an advertisement that has a phone number with a 905 area code. The 905 area code covers southern Ontario in Canada and is unlikely to be found on buildings on the US/Mexican border.