How is the Treynor ratio Annualized?

The Treynor Ratio is

(expected return - risk free rate) / beta.

Beta is dimensionless and cannot be annualized - the figure is the same whether you use daily, monthly or yearly returns.

The expected return and the risk free rate only need to be annualized. If they're based on daily returns, then raise them to the power (1+daily interest rate)^252 (assuming 252 trading days in one year).

See the link below for an example of a spreadsheet which calculates the Treynor Ratio