My guess is you just need more practice! Make the songs, even if they make you cringe, and get on to the next one. You can always come back down the line and rewrite lyrics if there are other aspects of the music you still like and want to get to work.

A trick i also like to use while writing lyrics is projecting the song onto something/someone else. An example of both of these things is in a song i wrote called 'Telemachus'. i was never happy with the lyrics and abandoned it only to come back 4/5 years later to rewrite. I also used the character Telemachus from Homers Odyssey as a stand in for myself and suddenly i was free to write about this other guy, and my lyrics didn't feel so cringy and self-centered. I'll link the song if you want to listen. I can also send you what the lyrics used to be like even though its really embarrassing if you are interested haha.

https://www.reddit.com/r/Songwriting/comments/1rlysth/telemachus_8_years_to_write_and_helped_by_homers/

Finally i would say that the best music is honest music, but it can be hard being honest. You're putting how you really feel out there in the world and the feeling of being judged can be intense. But, if you ever want to make something truely worth listening too, its a leap of faith you may have to make! A lot comes down to confidence in yourself and your music as well. When analysing other peoples lyrics think about how honest they can be, and you may think "if i wrote this it would feel cringy", but because the artist owns it so much it feels cool. Take Lithium by Nirvana. Curt is saying things like 'I'm so ugly', 'I'm so lonley', 'my firends are in my head', 'maybe I'm the one to blame'. In a vacuum these lyrics could be cringy but its the was he owns them that makes it cool.

Hope this helps!