Hi @LRVinNC,
Do you want these approval request cards to be shown up within the Sent Request tab of other approvers's Approval Center?
Do you share this approval flow with other users?
If there are some approval requests sent by you using the "Start an approval" action, these approval requests would be shown up within the Sent requests tab of the Approval Center of your Microsoft Flow. The sender of these Approval requests (sent via the "Start an approval" action) is based on the current login account of Microsoft Flow, in other words, if user A sent an approval request within his Microsoft Flow, the sender of the approval request would be user A, if user B sent an approval request within his Microsoft Flow, the sender of the approval request would be user B.
Although you shared this approval flow with other users, if you run this Approval flow within your own Microsoft Flow, the sender of this approval request would be yourself and this approval request would only be shown up within the Sent requests tab of your Microsoft Flow's Approval center rather than others'.
Except that other users run this approval flow within their own Microsoft Flow, if you want the Approval request sent by you to be shown up within the Sent requests tab of the Approval Center of other users' Microsoft Flow, I afraid that there is no way to achieve your needs in Microsoft Flow currently.
Best regards,
Kris