What Present perfect tense We ask Madame Mathias if she will sponsor our French club.?

Present perfect is formed with -- have/has + past participle -- the past participle of ask is asked. So the present perfect verb would be have asked or has asked.

Because we is plural use have asked in this sentence.

We have asked Madame Mathias...............

You need to change will sponsor to would sponsor to make the sentence correct.

We have asked Madam Mathias if she would sponsor our French club.