Is it OK to recite sutras and nembutsu from a different denomination than my family?

As for your question, Mr. Hanako, there is nothing wrong with it. In Zen Buddhism (an example of the Soto sect), all Buddhas are connected to Buddha. The past, present, and future Buddhas... all of them are Buddha statues, so I think it's okay to continue with the present form without worrying about it in particular.

　Hello. There are various denominations, and I think it's nice to be able to directly touch various teachings. I was born in a temple, so I don't have a choice (lol. It really does exist).
Well, it is said that there are currently connections with several denominations. I think that itself is fine as it is, but “what should I do in the future?” What are you actually expecting? If you ask specific questions about that area, I think you'll be able to get specific answers. If it's “nothing in particular,” you can leave it as is.

They usually believe in the same religious denomination as their parents, but there is no punishment just because they deviate from there.

This is because the gurus and ancestors had different beliefs from their parents, so they became new gurus and ancestors.

Please submit to the denomination that Hanako thinks is good.

If you want to reach the top of a mountain, you'll always arrive no matter which path you climb.
You can take any path.
I have been forgiven for choosing my own path.
That is also the tolerance of Buddhism.
This is because Buddhism wakes up away from such hesitation, rules decided by people, strife, and suffering.
It's a human rule that you should do that, you have to do this.
Buddhism is a path to the mind and enlightenment that is not a rule determined by that person, and what ❝ is established as a facility (setsu) to reach that point is a difference between denominations. ❞
So no matter what denomination, if you get involved with a doctor (monk) who properly provides a heart of enlightenment as a family temple (home doctor), both the living and the dead can be saved.
Those who fit well with Nembutsu go to Nembutsu; those who fit Zen well go to Zen, and those who are comfortable with Shingon and Ajikan go to Shingon and Ajikan.
Well, the following is a personal request, but now the number of people who have graves in cemeteries is increasing, and that is the personal opinion of a temple industry person, Tange, but are cemeteries a means for Shinto Christianity and others to choose, and they invest and donate to “individual companies” called cemeteries called cemeteries rather than temples? I'm in a state where I'm renting a graveyard, so honestly, please don't say “please come to the temple” from the temple's point of view; it's a misleading way of doing things. (-_-;)
Having a tomb in a temple and having a family temple means supporting the survival of Japanese Buddhism by believing in and protecting that sect. If cemeteries are invested in private traders, temples may collapse more and more, and Buddhism may fall into disrepair. Having the temple and parishioners have a relationship with the temple at the source of the principal image of the family temple will directly help and support the temple and Japanese Buddhism.
Temples are made up of gifts and purified goods from everyone, so if you consider such aspects, it will lead to support that will preserve the Buddhist people who set up free consultation sites in this way, and temples and Buddhist culture in various places where survival is in jeopardy.
Eventually, after getting married, there will come a time when you should choose a temple to enshrine the ancestral spirits of both families.
At that time, I would be grateful if you could become a parishioner at some temple for the sake of the survival of the temple instead of a cemetery. (This is Tange's personal opinion)

Religion is free, so I think it's a good idea to choose the denomination that suits you best.

There are many people who say that their family's denomination and individual beliefs are different; if you become a parishioner, it makes sense to request the family's Buddhist rituals from the family temple, but at a temple with zero parishioners like me, people gather at the temple with their personal beliefs.

There are also people who come to the temple who are members of temples of other denominations, and there are also people who are not Buddhist. However, I would like to say welcome to all of you. This is because individual beliefs are free.

May you meet good denominations and good temples.