In order to increase my free roll reward, does the quantity of multiply btc with jackpot matter or does cost for jackpot increases my percentage more for increased free rolls?
The quantity of the multiply BTC is the base thing for the additional free roll reward progress. It increases 4× faster if you spend your BTC on jackpot and 20× faster if you spend your BTC on lottery tickets.

Let's assume your progress bar increase 1% for every 0.000125 BTC bet on multiply game. In that case, it will increase 4% if you spend the same amount on jackpot. And your reward progress will increase by 0.4% if you spend 0.0000125 BTC instead of 0.000125 BTC on jackpot. The quantity of your multiply BTC bet and the amount you spend on jackpot works individually for the progress. For the above example, your additional free roll reward progress will increase by 5% (1% + 4%) if you place a 0.000125 BTC bet and spend 0.000125 BTC on jackpot at the same time.