Theoretically yes, in practice it seems that the Russians have no intention of spending money to realize that COGAG propulsion system that must also include the design and construction from scratch of the relative reduction gear necessary for a single project 11356 ship.The Russians could in theory do a propulsion system for the Admiral Grigorovich frigates today if necessary. They have their own M90FR and M70FRU2 engines with similar power to the Ukrainian ones. They would just need to design a new reduction gear.
Also because Russia in the meantime has chosen the more modern project 22350 - Gorshkov class 2 completed, 2 in the process of completion, another 4 under construction + 2 already under contract.
In addition there is talk of a derived version that is indicated as project 22350M with significantly increased dimensions, displacement and armament.
So, in my very personal opinion, the hull of the now ex "Admiral Kornilov" has three alternatives:
1) be sold to a country that can procure the complete original engine system and has good relations with Ukraine (India-Vietnam) and completed in Russia, hoping that the "Zorya-Mashproekt" workshops are still able to make them.
2) Sell the hull in its current state of construction which still cannot be considered a warship to a country today considered a friend (Iran-North Korea) which will then provide (if it can) to equip it with an engine system that can adapt to this ship which could be of the CODAD type all diesel (giving up high speed performance) or if they have the manufacturing capabilities or the availability of naval gas turbines a CODAG or even COGAG system (for this you need to have 2 types of turbines with different power) and design and build the reduction gear to connect the engines. These two countries have shown a lot of creativity and inventiveness in solving the problems that may arise in finding what the military sector needs, without forgetting that they have developed a military industry that can provide every element to possibly arm a ship the size of the "Kornilov"
Furthermore, the type of ship in terms of characteristics, size and displacement is suited to the needs that these two nations have declared they want to possess in the future.
3) last alternative and it could be the one to come, the hull of the former "Admiral Kornilov" will be sold for scrap and the oxyacetylene flame will transform it into recycled metal.....
but it would be a real sham