Is contemplating God's signs and linking that to supplication, with the aim of solidifying the love of God and knowledge of the One invoked, a correct behavioral approach to address the problem of repeatedly falling into sin, especially when mere contemplation does not lead to an immediate heartfelt response?

There is no harm in changing the phrasing, as both phrases are correct and beneficial from the perspective of conduct. Reflection, contemplation, and deep thought about God's creation lead to an increase in faith and the rectification of the heart, and supplication is among the most beneficial means and greatest acts of worship. It is advised to avoid over-analyzing and obsessive thoughts, to strive in worship without affectation or extremism, and to seek assistance from God, rely on Him, and have a good opinion of Him.