Typically, MLB financials are a closed book. There is little way to guess what a team is really making. You can estimate TV revenue, compute gate receipts, and use payroll information to get an idea. However, since the Braves are owned by the publicly traded company Liberty Media, you do have some solid numbers, but not all, to work with. From the release:
Attributed to Braves Group
Braves clinched third straight NL East title and won NL Wild Card Series and NL Division Series
Braves amended debt agreements related to the team revolver and ballpark funding
Liquidity as of September 30th: $260 million cash, restricted cash, cash equivalents and revolver capacity (including $183 million liquidity at Braves)
Revenue was down to 110 million from 212 from last year.