Manager Taylor has been shortlisted for the Manager of the Month award, while in-form midfielder Weir has been named in the Player of the Month category.
A flawless December saw City tally four wins from four, securing progress to the UEFA Women's Champions League Round of 16 and reigniting our FA Women's Super League title charge with impressive victories over Everton and Arsenal.
Weir starred throughout the month, crafting four assists in two games - the away triumphs over Everton and Göteborg - before netting a superb, injury-time winner in our crucial victory over the Gunners.
Both Taylor and Weir face stiff competition for the awards.
The City boss lines up against Chelsea's Emma Hayes, Manchester United's Casey Stoney and Tottenham Hotspur's Rehanne Skinner, while Weir goes head-to-head with Reading's Jess Fishlock, Arsenal's Caitlin Foord, Manchester United's Leah Galton and Chelsea's Sam Kerr.
Show your support for our City duo and click the links below to vote:
Good luck to Gaz and Caz!
Voting closes on Monday 4 January and the winners will be announced on Friday 15 January via the @BarclaysFAWSL Twitter account.