Put on your walking foot, then the layers will be pulled through evenly and that should fix the problem.

I use a "Purple Thang" which has an angled, slightly flattened tip and has an eye for threading on a "ribbon"* to be worn around your neck to be handy. (*I suggest using narrow elastic so it doesn't drop through a mesh tabletop you've leaned over, causing pain and embarrassment when it catches as you stand up without noticing. Ask me how I know.) The Purple Thang is a great, inexpensive little sewing tool, available on Amazon and many sewing/quilting sites.

I use a Stilleto to guide the end of my blocks...Try that..

Do you have a plastic support table fitted around your machine base? If you don't then your guiding hand and gravity is the problem....I took a serger class one time from the Serger Guru from Babylock. She said, serged threads going off the fabric was the person pulling at the end of the piece going through the machine, usually the left hand. We all tried it on our machines, she was right! Keep your fabric in position to the last stitch, don't get in a hurry to get it through the needle.
When I got home, I noticed I was pulling my fabric to the left on my sewing machine as well...It is not your machine.

Chopsticks work well as stilletos--not as pokey as skewers! (Pokey is, of course, a technical term!)

two things, do u have a 1/4th foot on your machine? And when pinning i always start in the middle and then work out, and then work in, i go back and forths to make sure i have it equal. sometimes it just takes practice, u will get there

Stiletto works for me too

I have found it really helps if I slow down my sewing speed as I near the end of the piece.

I was going to suggest the same thing. It improved my piecing when I started using leaders and enders.

a wooden orange manicure stick works well too and is safer if you think you might hit the needle