Can funds be directly transferred from the equity segment to commodities and vice versa?

There's nothing to transfer. Rupeezy keeps one ledger for your account, so the money you add is available for both equity and commodity (MCX) trading — the limit you see is common to both segments.

Do I need to add funds separately for commodity trading?

No. Commodity (MCX) trading is a segment on your existing Rupeezy trading account, not a separate account, and it draws on the same funds as equity. Add money once through Add Funds, and you can use it in either segment.

Can I withdraw money I added for one segment after trading in the other?

Yes. Withdrawals come out of the same single balance — see How do I withdraw funds?