It’s completely normal, don’t stress too much about it.
Personally it takes about two weeks for the proper DOMS to go away after I start lifting again in the off season, however in that period I only do Z2 rides and I treat strength sessions as my high intensity. Then, when I do higher intensity workouts on the bike, I lift after those (either the same day or the next one) to avoid compromising the quality of the rides, because in the end it’s what it matters more for us cyclists.
Anyway, strength training is still important so I’d say to just keep doing your gym sessions for now and reduce the intensity or volume (or both) on the bike.
If you haven’t already seen it, there’s a huge thread about Strength training: Strength Training
Also on the blog there are suggestions about combining strength and bike workouts, such as this post: Combining Cycling & Weight Training: How to Time Your Workouts - TrainerRoad Blog