Colorado's Mikko Rantanen scored twice in the first period. He left after taking a high stick to the face in the second and then returned in the third.
Makar also scored for the Avs, who lost second-line center Evan Rodrigues to a lower-body injury late in the first period. Francouz stopped 22 shots.
Colorado had won three straight. After going 32-5-4 at home in the regular season en route to winning the Stanley Cup in June, the Avalanche fell to 4-3-1 at Ball Arena.
There was a brief delay with 1:03 to go when fans, already upset with the Makar interference call, threw debris on the ice after Colorado took its fifth penalty.
With the game tied at 2, Tyler Myers jammed his stick into Rantanen's face in the second, earning a double minor. The Avs ended up with a 5-on-3, and Makar took a feed from Nathan MacKinnon (NHL-best 22nd assist) and blistered a shot from the left circle with 4:01 left.
But Dries knocked in a loose puck early in the third period to tie it.
It marked the seventh straight game the league's best power-play unit has scored.
Colorado, coming off a 3-0 trip, got off to a sloppy start.
A turnover behind the net led to Elias Pettersson finding an open Mikheyev in the slot, and his wrist shot 21 seconds in made it 1-0. It was the fastest road goal for Vancouver since Henrik Sedin scored 10 seconds in at Colorado on Oct. 24, 2014.
Oskar Olausson, Colorado’s 2021 first-round pick, was called up from the minors and made his NHL debut while skating on the second line with Alex Newhook and Rodrigues. Martin Kaut moved to the fourth line.
“A good skater, good offensive weapons, a good shot,” the 20-year-old Swede said when asked to describe his style.
Artturi Lehkonen assisted on both Rantanen goals to extend his career-long point streak to eight games. ... The Avs also recalled F Jayson Megna. ... Avs D Samuel Girard (lower body) returned after a six-game absence. ... Colorado D Bowen Byram (lower body) still isn't skating. ... Canucks F Tanner Pearson (hand) skated in the morning but missed his sixth straight game. ... Injured Avs captain Gabriel Landeskog (knee surgery) turned 30.
Canucks: Visit Vegas on Saturday night.
Avalanche: At Nashville on Friday.
AP NHL: https://apnews.com/hub/nhl and https://twitter.com/AP_Sports
Mike Cranston, The Associated Press