You could try adjusting the limit screw. The one marked H/High - try turning it 1/8th at a time ANTICLOCKWISE.
Try riding that, the shifting should be tested in the smallest, and middlemost sprockets on the cassette, but it wouldn't be fair to expect the shifting to work well on the largest few.
I'd not adjust it more than 3* 1/8th in total, and if you undo it too far it will throw the chain off, and you should do it up again to where it was when it worked better.
With unpinned/ramped Chainrings you may find you have to back off the power substantially, and change by making a well timed "push and hold" with the Shifter.