Despite the setbacks, the team continued to repose their hope _____ their coach, trusting in his ability to lead them to victory.

Repose trust/confidence/hope in someone/something (idiom):
English Meaning - To place your trust or hopes in someone or something.
Bangla Meaning - (আনুষ্ঠানিক) বিশ্বাস /আস্থা স্থাপন করা।
Example Sentence - We repose a lot of hope in this project.

এছাড়াও,
Repose on: 
English Meaning - To rest or lie. 
Bangla Meaning - বিশ্রাম; ঘুম।

Complete Sentence - Despite the setbacks, the team continued to repose their hope in their coach, trusting in his ability to lead them to victory.

Source: Cambridge Dictionary.