The Basha Badge is related to how many consecutive days Basha is active in the player's account. And it's awarded as follows:

• Have 30 day of Basha to earn a bronze badge.
• Have 180 day of Basha to earn a silver badge.
• Have 360 day of Basha to earn a gold badge.
• Have 30 day of Basha to earn a ruby badge.

Note: The Basha doesn't need to stay active on the account all the time or without stopping.

Please click the following link for more details about the badges you can earn and their requirements:
https://blog.jawaker.com/jawakerbadges-en/