Does opening a new IRA right after a mutual fund liquidated be considered a contribution or something else?

Distribution from what? Another retirement account? If it was from another retirement account then it will not be a new contribution. You will enter your Form 1099-R and indicate that you rollover/converted the funds.

1. Click on "Search" on the top right and type “1099-R”  
2. Click on “Jump to 1099-R”
3. Click "Continue" and enter the information from your 1099-R
4. Answer questions until you get to “Tell us if you moved the money through a rollover or conversion” and make the appropriate selection.

If money was from just another bank account/investment account then it would be a new contribution:

1. Click on "Search" on the top right and type “IRA contributions” 
2. Click on “Jump to IRA contributions"