It is difficult to understand what you are asking because of your limited command of English, but I will try to assist. Know, however, that I am not an attorney.
If your small organization ("Company A") is attempting to fight a large, well-funded organization ("Company B"), you should hire an attorney familiar with Trademark law to help you. Without an attorney's assistance, you might give up rights to which you are actually entitled or strike a more limited co-existence agreement than would be needed. The attorney will be able to look at your actual situation and advise you as to how best to proceed cost effectively based on the rights you have in your mark, whether there would be confusion in the marketplace by concurrent use of both marks, and if your mark has superior rights to those of the mark owned by Company B.
There are several attorneys who regularly respond to questions on this list so you may get additional help. Thanks.