if a company transfers its ownership to another person, it needs to go to the industrial and commercial office to change it. The procedures for changing it vary from place to place, so you have to go to the industrial and commercial office to check.

the owner of a trademark does not need to make any changes as long as the name and address of the applicant have not changed at the time of registration;

it doesn't matter whether the upper right corner of the trademark is TM or R. It's just a claim when you use the trademark. It seems that the country doesn't require the trademark to be marked with this, and it won't have any influence on the trademark transfer.