At the break, Henry Nicholls, who successfully reviewed a second-ball leg-before decision on nought, was unbeaten on 31 with BJ Watling 16 not out.
New Zealand lead the three-match series 1-0 after winning the first Test by four runs in Abu Dhabi.
New Zealand were forced to follow-on after superb bowling by leg-spinner Yasir Shah, who took 8-41 to dismiss them for a paltry 90 on Monday.
Resuming at 131-2 Taylor smashed medium pacer Hasan Ali's first ball of the day to cover boundary to reach his 29th half century in Tests.
Latham completed his 15th Test fifty with a single but was caught behind off Hasan after Paul Reiffel consulted television umpire Ian Gould for a fair catch.
Latham hit four boundaries. (AFP) APA
(This story has not been edited by Devdiscourse staff and is auto-generated from a syndicated feed.)