Good advice from Yev33.
Of course, like most guys with a question about training, you didn't tell us details of the training style you are currently following. Or other training methods in the past. Just that you have a problem.
Any type machine does not always transfer over to every day functional (over used word..I know) strength. Far from it actually. I'll work with a few middle age, to older gentlemen, from time to time, and will include dips and chins (as Yev33 suggest) as basic exercises. Starting with negative versions at first until building up the ability to do positive reps. 6 to 8 positive reps are all that is required when getting into a regular routine with these two movements. Add weight later if you wish.
For these older men, will include BB cleans (with the bar only...which may take a little time for some new trainee's to learn...than add weight) which can increase balance, timing and confidence for men not use to lifting. One legged step-ups, with less stress on the lower back and gaining better balance, are also included..
There's an old theory about moving a body in space , which can develop more strength and muscle size. Dips & chins being prime examples. Machine pulls and pushes are cool and all that, but if your required to use some functional strength in everyday life, might not be up to the task. Would also suggest most any form of free weight training, with the highlight on DB training.
Good Luck