What will increase asset and decrease liability?

This is a difficult question to answer. I've been going through all transactions I can think of but none that will increase an asset and decrease a liability in the same transaction.

Receiving cash payment for an account receivable will increase the asset of cash, but it also decreases the asset of AR.

The purchase of equipment or supplies will do increase supplies or equipment but will either decrease the asset of cash or if bought on account will increase liability by increasing an account payable.

Remember there's always an equal debit and credit with any transaction. The term debit or credit doesn't indicate which of the accounts are used. You can debit and credit on both sides of the accounting equation in one transaction.

Assets increase by receiving money, supplies, property, or equipment, when any of these are increased with a debit then an opposite credit MUST occur.

If you receive money for a purchase the asset of Cash increases, but then so does the Owners Equity account of Revenue. (this doesn't have anything to do with liabilities.)

A liability is something your company owes, to decrease a liability a company makes a pay out in some form (usually cash), this will also decrease your assets (not increase).