Psalms 42:6

Strong's #5749, עוד is a word often meaning "a going around, repetition, again"(as an adverb, Strong's #5750) but it is also a verb "to repeat/duplicate/do again" which is interpreted in various contexts as "testifying/bearing witness." The idea of duplicating and repeating as the primary meaning is generally overlooked since it doesn't fit into established traditional contexts. The phrase "Hope in God because" means that the following text should probably contain a good reason why. 

אודה is the form for "I throw/cast/praise" not אודנו which has a 1st person plural suffix נו-. As seen in the commentaries, scholars apparently have always struggled with the meaning of this phrase כי עוד אודנו ישועות פניו. Almost nothing in this was translated honestly, because for them, honest or straight translations didn't line up or seem to make sense. The feminine plural "salvations" was effectively covered up, only mentioned in brief by a few commentaries, where virtually no one was sure to ever see the true word.

אודנו is from the root אוד meaning "to turn, wind, turn about/over", and the feminine noun אוֺדָה (Strong's #182), meaning "cause" or "reason." The term אודנו is easily translated in the possessive form, meaning "our cause" or "our reason." In this construct, אודה refers to the reason, cause, or justification for something, while נו (nu) denotes possession, meaning "our." Thus, אודנו indicates a shared or collective cause attributed to the group, used in biblical contexts to explain a situation or event. The term is frequently seen with the preposition על (al), meaning "because of" or "concerning," to specify the particular cause or reason. 

Cf. Julius Feurst Hebrew Lexicon:

and Gesenius: