I'm looking for this manga I came across one day about a boy who grows up in an abusive household. I think his father strangles him or something and after that he wakes up in another world. I think he uses a sword or something and he has trust issues.
Ubau Mono Ubawareru Mono (2016)? Also known as Those Being Stolen From, Those Who Steal; To Deprive a Deprived Person; Bereave or Bereaved.
Setou Yuu is a 12-year-old boy, despite being very intelligent, he is a deprived person. Abused violently by his father and beaten by debt collectors regularly due to his father, his body filled with scars. One day, he is transported into a different world and he got what he needed to strike back at those who harm him or his loved ones.
Found with the Google query
isekai manga abusive father other world site:myanimelist.net/manga which brought up this recommendation:
Both are set in a fantasy world. "Ubau Mono Ubawareru Mono" is a slightly more sinister manga, with the MC having being strangled to death by his abusive father and ending up in new world, with a slightly evil approach to others that cross him. [...]