The Anfield boss has been left to reflect on a poor final few days of the summer market as firstly Andy Carroll was allowed to leave for West Ham on loan before the club missed out on his replacement, Clint Dempsey, who chose to move to Tottenham instead.
Fallows joins from Manchester City and will take his position as head of scouting and recruitment, while Hunter moves to Merseyside following a stint as City's chief scout for Russia, Italy and Switzerland.
Rodgers told The Guardian: "I've had long chats with the owners. Our scouting team wasn't in place. I've seen one or two things written about a technical team but every football club has a technical team.
“Let's not say we are trying to reinvent the wheel here. We had a manager but we didn't have a scouting department.
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“Thankfully those guys have now come in and hopefully they'll do a terrific job.”
Liverpool started the campaign with three recognised strikers in their squad – Carroll, Luis Suarez and Fabio Borini. Yet the pressure on the latter two has multiplied following the departure of the £35 million signing from Newcastle.
Discussing the club's summer business, Rodgers added: “Operationally these are things we needed to sort out as well as learning from the process. It's a new manager, working with a new group of people.
“I'm sure the owners will have gone away and reflected on things. We had a couple of good conversations with them, and we learn from that and move on.”
Reflecting on the recruitments to his technical team, Rodgers, who has worked with Hunter in the past at Reading, continued: "They were appointments I was fully aware of. I've known Barry for a long time and Dave also.
“Dave was already in the offing to come here. From Dave's position, he would only accept the job if someone like myself was coming in.
"I can only repeat what I said when I came here – I'm not a power freak. I don't need to do everything on my own. The modern-day manager can't do that.
“But you have the final say on players, there's absolutely no question about that.
“If I want a player and we can't afford it, that's a different matter. Then it comes back to availability and affordability."
The Reds have just one point from a possible nine and should they lose to Sunderland on Saturday, it will be their worst start to a season in 104 years.