Rodrigues scored his first goal with the Avalanche at 5:55 when he one-timed a feed from Valeri Nichushkin to make it 2-1.
"It's not the result we wanted, but good to get that one out of the way and hopefully they can start piling [up] now," Rodrigues said.
Byram tied it 2-2 at 6:58 of the third when he scored short-handed on a 3-on-2 rush from the top of the right face-off circle.
"I did get to score a goal, but at the end of the day, we're just not playing good enough to win right now," Byram said. "There's a lot more that goes into the game than scoring. I feel like I didn't have my best game, so I'm not too worried about that right now."
Grubauer left the game at the next television timeout and was replaced by Jones.
"He [said something didn't feel right] right after the goal, and then obviously the next whistle he went down the tunnel," Hakstol said. "I don't have [an update] for you right now."
NOTES: Kraken forward Andre Burakovsky, who won the Stanley Cup with the Avalanche last season, was honored with a video tribute. … Jones was credited with his 200th NHL win in his 400th game. … Colorado played without defenseman Devon Toews because of an undisclosed injury. His status for the game Saturday at the Vegas Golden Knights is uncertain. … Byram's short-handed goal was his first in the NHL.