Here’s a modern color palette that incorporates green and red as accent colors while ensuring accessibility and a cohesive look.

 <Modern Green and Red>
1. Background - 
                            
                            #FFFFFF
                         - A clean, crisp white that provides a neutral backdrop for the interface, ensuring that other colors stand out.
2. Text - 
                            
                            #333333
                         - A dark charcoal gray for primary text, offering high readability against the white background while being softer than black.
3. Primary Action - 
                            
                            #4CAF50
                         - A vibrant green that encourages user interaction, ideal for call-to-action buttons and links.
4. Secondary Action - 
                            
                            #FF5722
                         - A warm red that serves as a secondary accent, perfect for alert messages or secondary buttons.
5. Accent - 
                            
                            #FFC107
                         - A bright amber that can highlight important features, icons, or notifications without overwhelming the user.

Description:

This color palette combines a clean white background with dark gray text for readability. The vibrant green and warm red serve as primary and secondary action colors, respectively, making calls to action clear and engaging. The bright amber accent adds a pop of color for important elements without clashing with the overall modern aesthetic.

Follow-up Questions:

1. Are there any specific UI elements you want to focus on, like buttons or notifications?
2. Would you like to see variations of this palette or additional colors?
3. Are there any particular color shades of green or red you prefer?