In series 14, the colour of the Doctor's sonic screwdriver appears to largely correlate to whether the episode is set in the past or future:
"The Church on Ruby Road"
Present day.
Screwdriver colour: blue.
"Space Babies"
Future (21506).
Screwdriver colour: blue.
"The Devil's Chord"
Past (1963).
Screwdriver colour: red.
"Boom"
Future (5187).
No screwdriver appearance.
"73 Yards"
Present day, and an alternate timeline.
No screwdriver appearance.
"Dot and Bubble"
It's hard to tell due to various factors (namely the Finetimers not actually being human, check that literally blue blood), but it might be the future ("Itsy Bitsy Teeny Weeny Yellow Polka Dot Bikini" is a real song from 1960).
Screwdriver colour: blue.
"Rogue"
Past (1813).
Screwdriver colour: red.
The show has done Doctor-related colour cues for past and future episodes before: in series 5 (2010), the Eleventh Doctor typically wears a blue bowtie in past-set stories and red in future stories, although this is not 100% and this wardrobe choice was abandoned in his later seasons.