What algorithms do you support on minerboard?

Now minerboard support algorithms:
Sha-256
Script
X11
Ethash (DaggerHashimoto)
Blake256
CryptoNight
Blake2b
Pascal

Does it mean that the minerboard supports specific algorithm on ASIC as well as on gpu?

Yes. We didn't add this information on our website.

How then should I understand whether I can connect my equipment to minerboard?

You will have enough information about the supported pools and algorithms to connect to minerboard.